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Simplifying -2(x + -7) + -4 + -1x = 8x + 32 Reorder the terms: -2(-7 + x) + -4 + -1x = 8x + 32 (-7 * -2 + x * -2) + -4 + -1x = 8x + 32 (14 + -2x) + -4 + -1x = 8x + 32 Reorder the terms: 14 + -4 + -2x + -1x = 8x + 32 Combine like terms: 14 + -4 = 10 10 + -2x + -1x = 8x + 32 Combine like terms: -2x + -1x = -3x 10 + -3x = 8x + 32 Reorder the terms: 10 + -3x = 32 + 8x Solving 10 + -3x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -3x + -8x = 32 + 8x + -8x Combine like terms: -3x + -8x = -11x 10 + -11x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -11x = 32 + 0 10 + -11x = 32 Add '-10' to each side of the equation. 10 + -10 + -11x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 32 + -10 -11x = 32 + -10 Combine like terms: 32 + -10 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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