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Simplifying (3x + 17) + -1(2x + -19) = 21 Reorder the terms: (17 + 3x) + -1(2x + -19) = 21 Remove parenthesis around (17 + 3x) 17 + 3x + -1(2x + -19) = 21 Reorder the terms: 17 + 3x + -1(-19 + 2x) = 21 17 + 3x + (-19 * -1 + 2x * -1) = 21 17 + 3x + (19 + -2x) = 21 Reorder the terms: 17 + 19 + 3x + -2x = 21 Combine like terms: 17 + 19 = 36 36 + 3x + -2x = 21 Combine like terms: 3x + -2x = 1x 36 + 1x = 21 Solving 36 + 1x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1x = 21 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 21 + -36 1x = 21 + -36 Combine like terms: 21 + -36 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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