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Simplifying -4(x + -2) = -1(-2 + x) Reorder the terms: -4(-2 + x) = -1(-2 + x) (-2 * -4 + x * -4) = -1(-2 + x) (8 + -4x) = -1(-2 + x) 8 + -4x = (-2 * -1 + x * -1) 8 + -4x = (2 + -1x) Solving 8 + -4x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + -4x + x = 2 + -1x + x Combine like terms: -4x + x = -3x 8 + -3x = 2 + -1x + x Combine like terms: -1x + x = 0 8 + -3x = 2 + 0 8 + -3x = 2 Add '-8' to each side of the equation. 8 + -8 + -3x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 2 + -8 -3x = 2 + -8 Combine like terms: 2 + -8 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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