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Simplifying 5(1 + -2x) = 2(x + 1) (1 * 5 + -2x * 5) = 2(x + 1) (5 + -10x) = 2(x + 1) Reorder the terms: 5 + -10x = 2(1 + x) 5 + -10x = (1 * 2 + x * 2) 5 + -10x = (2 + 2x) Solving 5 + -10x = 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. 5 + -10x + -2x = 2 + 2x + -2x Combine like terms: -10x + -2x = -12x 5 + -12x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -12x = 2 + 0 5 + -12x = 2 Add '-5' to each side of the equation. 5 + -5 + -12x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 2 + -5 -12x = 2 + -5 Combine like terms: 2 + -5 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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