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Simplifying 2(x + 15) = 3(x + 1) Reorder the terms: 2(15 + x) = 3(x + 1) (15 * 2 + x * 2) = 3(x + 1) (30 + 2x) = 3(x + 1) Reorder the terms: 30 + 2x = 3(1 + x) 30 + 2x = (1 * 3 + x * 3) 30 + 2x = (3 + 3x) Solving 30 + 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. 30 + 2x + -3x = 3 + 3x + -3x Combine like terms: 2x + -3x = -1x 30 + -1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -1x = 3 + 0 30 + -1x = 3 Add '-30' to each side of the equation. 30 + -30 + -1x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 3 + -30 -1x = 3 + -30 Combine like terms: 3 + -30 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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