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Simplifying -1(x + -8) = 4(x + 7) Reorder the terms: -1(-8 + x) = 4(x + 7) (-8 * -1 + x * -1) = 4(x + 7) (8 + -1x) = 4(x + 7) Reorder the terms: 8 + -1x = 4(7 + x) 8 + -1x = (7 * 4 + x * 4) 8 + -1x = (28 + 4x) Solving 8 + -1x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -1x + -4x = 28 + 4x + -4x Combine like terms: -1x + -4x = -5x 8 + -5x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -5x = 28 + 0 8 + -5x = 28 Add '-8' to each side of the equation. 8 + -8 + -5x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 28 + -8 -5x = 28 + -8 Combine like terms: 28 + -8 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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