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Simplifying 2(x + 1) = 5x + 32 Reorder the terms: 2(1 + x) = 5x + 32 (1 * 2 + x * 2) = 5x + 32 (2 + 2x) = 5x + 32 Reorder the terms: 2 + 2x = 32 + 5x Solving 2 + 2x = 32 + 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 = 32 + 5x + -5x Combine like terms: 2x + -5x = -3x 2 + -3x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -3x = 32 + 0 2 + -3x = 32 Add '-2' to each side of the equation. 2 + -2 + -3x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 32 + -2 -3x = 32 + -2 Combine like terms: 32 + -2 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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