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Simplifying (3x + 17) + -1(2x + -18) = 21 Reorder the terms: (17 + 3x) + -1(2x + -18) = 21 Remove parenthesis around (17 + 3x) 17 + 3x + -1(2x + -18) = 21 Reorder the terms: 17 + 3x + -1(-18 + 2x) = 21 17 + 3x + (-18 * -1 + 2x * -1) = 21 17 + 3x + (18 + -2x) = 21 Reorder the terms: 17 + 18 + 3x + -2x = 21 Combine like terms: 17 + 18 = 35 35 + 3x + -2x = 21 Combine like terms: 3x + -2x = 1x 35 + 1x = 21 Solving 35 + 1x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 1x = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 21 + -35 1x = 21 + -35 Combine like terms: 21 + -35 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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