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Simplifying -4(x + -2) = -2(x + -5) Reorder the terms: -4(-2 + x) = -2(x + -5) (-2 * -4 + x * -4) = -2(x + -5) (8 + -4x) = -2(x + -5) Reorder the terms: 8 + -4x = -2(-5 + x) 8 + -4x = (-5 * -2 + x * -2) 8 + -4x = (10 + -2x) Solving 8 + -4x = 10 + -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. 8 + -4x + 2x = 10 + -2x + 2x Combine like terms: -4x + 2x = -2x 8 + -2x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -2x = 10 + 0 8 + -2x = 10 Add '-8' to each side of the equation. 8 + -8 + -2x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 10 + -8 -2x = 10 + -8 Combine like terms: 10 + -8 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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