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Simplifying 2x + 15 = 5(x + 1) Reorder the terms: 15 + 2x = 5(x + 1) Reorder the terms: 15 + 2x = 5(1 + x) 15 + 2x = (1 * 5 + x * 5) 15 + 2x = (5 + 5x) Solving 15 + 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. 15 + 2x + -5x = 5 + 5x + -5x Combine like terms: 2x + -5x = -3x 15 + -3x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -3x = 5 + 0 15 + -3x = 5 Add '-15' to each side of the equation. 15 + -15 + -3x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 5 + -15 -3x = 5 + -15 Combine like terms: 5 + -15 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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