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Simplifying 3(x + 2) + 7 = 2(x + 15) Reorder the terms: 3(2 + x) + 7 = 2(x + 15) (2 * 3 + x * 3) + 7 = 2(x + 15) (6 + 3x) + 7 = 2(x + 15) Reorder the terms: 6 + 7 + 3x = 2(x + 15) Combine like terms: 6 + 7 = 13 13 + 3x = 2(x + 15) Reorder the terms: 13 + 3x = 2(15 + x) 13 + 3x = (15 * 2 + x * 2) 13 + 3x = (30 + 2x) Solving 13 + 3x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 3x + -2x = 30 + 2x + -2x Combine like terms: 3x + -2x = 1x 13 + 1x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 1x = 30 + 0 13 + 1x = 30 Add '-13' to each side of the equation. 13 + -13 + 1x = 30 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 30 + -13 1x = 30 + -13 Combine like terms: 30 + -13 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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