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