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Simplifying -6 + 3x + 15 = 2(x + 17) Reorder the terms: -6 + 15 + 3x = 2(x + 17) Combine like terms: -6 + 15 = 9 9 + 3x = 2(x + 17) Reorder the terms: 9 + 3x = 2(17 + x) 9 + 3x = (17 * 2 + x * 2) 9 + 3x = (34 + 2x) Solving 9 + 3x = 34 + 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. 9 + 3x + -2x = 34 + 2x + -2x Combine like terms: 3x + -2x = 1x 9 + 1x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 1x = 34 + 0 9 + 1x = 34 Add '-9' to each side of the equation. 9 + -9 + 1x = 34 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 34 + -9 1x = 34 + -9 Combine like terms: 34 + -9 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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