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Simplifying -4(x + -7) = 2(-1x + 8) Reorder the terms: -4(-7 + x) = 2(-1x + 8) (-7 * -4 + x * -4) = 2(-1x + 8) (28 + -4x) = 2(-1x + 8) Reorder the terms: 28 + -4x = 2(8 + -1x) 28 + -4x = (8 * 2 + -1x * 2) 28 + -4x = (16 + -2x) Solving 28 + -4x = 16 + -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. 28 + -4x + 2x = 16 + -2x + 2x Combine like terms: -4x + 2x = -2x 28 + -2x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + -2x = 16 + 0 28 + -2x = 16 Add '-28' to each side of the equation. 28 + -28 + -2x = 16 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 16 + -28 -2x = 16 + -28 Combine like terms: 16 + -28 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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