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