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Simplifying -1(x + -7) = 2(x + -4) Reorder the terms: -1(-7 + x) = 2(x + -4) (-7 * -1 + x * -1) = 2(x + -4) (7 + -1x) = 2(x + -4) Reorder the terms: 7 + -1x = 2(-4 + x) 7 + -1x = (-4 * 2 + x * 2) 7 + -1x = (-8 + 2x) Solving 7 + -1x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -1x + -2x = -8 + 2x + -2x Combine like terms: -1x + -2x = -3x 7 + -3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -3x = -8 + 0 7 + -3x = -8 Add '-7' to each side of the equation. 7 + -7 + -3x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -8 + -7 -3x = -8 + -7 Combine like terms: -8 + -7 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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