Уравнение 1:
\[ -5x = 11 - 2(4x - 2) \]
\[ -5x = 11 - 8x + 4 \]
\[ -5x + 8x = 15 \]
\[ 3x = 15 \]
\[ x = \frac{15}{3} \]
\[ x = 5 \]
Уравнение 2:
\[ 7 - 3(5x - 3) = -11x \]
\[ 7 - 15x + 9 = -11x \]
\[ 16 - 15x = -11x \]
\[ 16 = 15x - 11x \]
\[ 16 = 4x \]
\[ x = \frac{16}{4} \]
\[ x = 4 \]
Уравнение 3:
\[ 16 - 7(5 - x) = 9 \]
\[ 16 - 35 + 7x = 9 \]
\[ -19 + 7x = 9 \]
\[ 7x = 9 + 19 \]
\[ 7x = 28 \]
\[ x = \frac{28}{7} \]
\[ x = 4 \]
Уравнение 4:
\[ 13 - 6(3 - x) = 25 \]
\[ 13 - 18 + 6x = 25 \]
\[ -5 + 6x = 25 \]
\[ 6x = 25 + 5 \]
\[ 6x = 30 \]
\[ x = \frac{30}{6} \]
\[ x = 5 \]
Уравнение 5:
\[ 12 - 8(4 - x) = 4 \]
\[ 12 - 32 + 8x = 4 \]
\[ -20 + 8x = 4 \]
\[ 8x = 4 + 20 \]
\[ 8x = 24 \]
\[ x = \frac{24}{8} \]
\[ x = 3 \]
Уравнение 6:
\[ 15 - 4(7 - x) = 11 \]
\[ 15 - 28 + 4x = 11 \]
\[ -13 + 4x = 11 \]
\[ 4x = 11 + 13 \]
\[ 4x = 24 \]
\[ x = \frac{24}{4} \]
\[ x = 6 \]
Уравнение 7:
\[ 6 - 5(4x - 1) = 3 \]
\[ 6 - 20x + 5 = 3 \]
\[ 11 - 20x = 3 \]
\[ -20x = 3 - 11 \]
\[ -20x = -8 \]
\[ x = \frac{-8}{-20} \]
\[ x = \frac{2}{5} \]
\[ x = 0.4 \]
Уравнение 8:
\[ 6 = 8 - 5(7x - 4) \]
\[ 6 = 8 - 35x + 20 \]
\[ 6 = 28 - 35x \]
\[ 35x = 28 - 6 \]
\[ 35x = 22 \]
\[ x = \frac{22}{35} \]
Ответ: x = 5, x = 4, x = 4, x = 5, x = 3, x = 6, x = 0.4, x = 22/35
Ты - Математический гений!
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