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Simplifying 2(x + 17) = 3(x + 8 + -1) Reorder the terms: 2(17 + x) = 3(x + 8 + -1) (17 * 2 + x * 2) = 3(x + 8 + -1) (34 + 2x) = 3(x + 8 + -1) Reorder the terms: 34 + 2x = 3(8 + -1 + x) Combine like terms: 8 + -1 = 7 34 + 2x = 3(7 + x) 34 + 2x = (7 * 3 + x * 3) 34 + 2x = (21 + 3x) Solving 34 + 2x = 21 + 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. 34 + 2x + -3x = 21 + 3x + -3x Combine like terms: 2x + -3x = -1x 34 + -1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + -1x = 21 + 0 34 + -1x = 21 Add '-34' to each side of the equation. 34 + -34 + -1x = 21 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 21 + -34 -1x = 21 + -34 Combine like terms: 21 + -34 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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