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Simplifying -4(x + -4) = -2(x + -1) Reorder the terms: -4(-4 + x) = -2(x + -1) (-4 * -4 + x * -4) = -2(x + -1) (16 + -4x) = -2(x + -1) Reorder the terms: 16 + -4x = -2(-1 + x) 16 + -4x = (-1 * -2 + x * -2) 16 + -4x = (2 + -2x) Solving 16 + -4x = 2 + -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. 16 + -4x + 2x = 2 + -2x + 2x Combine like terms: -4x + 2x = -2x 16 + -2x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + -2x = 2 + 0 16 + -2x = 2 Add '-16' to each side of the equation. 16 + -16 + -2x = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 2 + -16 -2x = 2 + -16 Combine like terms: 2 + -16 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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