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Simplifying 5(1 + -2x) = 3 + -2(2 + -1x) (1 * 5 + -2x * 5) = 3 + -2(2 + -1x) (5 + -10x) = 3 + -2(2 + -1x) 5 + -10x = 3 + (2 * -2 + -1x * -2) 5 + -10x = 3 + (-4 + 2x) Combine like terms: 3 + -4 = -1 5 + -10x = -1 + 2x Solving 5 + -10x = -1 + 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 = -1 + 2x + -2x Combine like terms: -10x + -2x = -12x 5 + -12x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -12x = -1 + 0 5 + -12x = -1 Add '-5' to each side of the equation. 5 + -5 + -12x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = -1 + -5 -12x = -1 + -5 Combine like terms: -1 + -5 = -6 -12x = -6 Divide each side by '-12'. x = 0.5 Simplifying x = 0.5
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