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Simplifying -2(x + -4) = 20(1 + -2x) Reorder the terms: -2(-4 + x) = 20(1 + -2x) (-4 * -2 + x * -2) = 20(1 + -2x) (8 + -2x) = 20(1 + -2x) 8 + -2x = (1 * 20 + -2x * 20) 8 + -2x = (20 + -40x) Solving 8 + -2x = 20 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 8 + -2x + 40x = 20 + -40x + 40x Combine like terms: -2x + 40x = 38x 8 + 38x = 20 + -40x + 40x Combine like terms: -40x + 40x = 0 8 + 38x = 20 + 0 8 + 38x = 20 Add '-8' to each side of the equation. 8 + -8 + 38x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 38x = 20 + -8 38x = 20 + -8 Combine like terms: 20 + -8 = 12 38x = 12 Divide each side by '38'. x = 0.3157894737 Simplifying x = 0.3157894737
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