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