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Simplifying 12(3x + 2) + -17x = -5(7 + -1x) + 31 Reorder the terms: 12(2 + 3x) + -17x = -5(7 + -1x) + 31 (2 * 12 + 3x * 12) + -17x = -5(7 + -1x) + 31 (24 + 36x) + -17x = -5(7 + -1x) + 31 Combine like terms: 36x + -17x = 19x 24 + 19x = -5(7 + -1x) + 31 24 + 19x = (7 * -5 + -1x * -5) + 31 24 + 19x = (-35 + 5x) + 31 Reorder the terms: 24 + 19x = -35 + 31 + 5x Combine like terms: -35 + 31 = -4 24 + 19x = -4 + 5x Solving 24 + 19x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 19x + -5x = -4 + 5x + -5x Combine like terms: 19x + -5x = 14x 24 + 14x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 14x = -4 + 0 24 + 14x = -4 Add '-24' to each side of the equation. 24 + -24 + 14x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 14x = -4 + -24 14x = -4 + -24 Combine like terms: -4 + -24 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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