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Simplifying 2(1 + -1x) = 5(1 + 2x) + 3 (1 * 2 + -1x * 2) = 5(1 + 2x) + 3 (2 + -2x) = 5(1 + 2x) + 3 2 + -2x = (1 * 5 + 2x * 5) + 3 2 + -2x = (5 + 10x) + 3 Reorder the terms: 2 + -2x = 5 + 3 + 10x Combine like terms: 5 + 3 = 8 2 + -2x = 8 + 10x Solving 2 + -2x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -2x + -10x = 8 + 10x + -10x Combine like terms: -2x + -10x = -12x 2 + -12x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -12x = 8 + 0 2 + -12x = 8 Add '-2' to each side of the equation. 2 + -2 + -12x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = 8 + -2 -12x = 8 + -2 Combine like terms: 8 + -2 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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