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Simplifying 3(x + 3) + 14 = 2(x + 5) Reorder the terms: 3(3 + x) + 14 = 2(x + 5) (3 * 3 + x * 3) + 14 = 2(x + 5) (9 + 3x) + 14 = 2(x + 5) Reorder the terms: 9 + 14 + 3x = 2(x + 5) Combine like terms: 9 + 14 = 23 23 + 3x = 2(x + 5) Reorder the terms: 23 + 3x = 2(5 + x) 23 + 3x = (5 * 2 + x * 2) 23 + 3x = (10 + 2x) Solving 23 + 3x = 10 + 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. 23 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 23 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 1x = 10 + 0 23 + 1x = 10 Add '-23' to each side of the equation. 23 + -23 + 1x = 10 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 10 + -23 1x = 10 + -23 Combine like terms: 10 + -23 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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