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Simplifying 324 + 10x = 2(17x + 12) + 2(13x + -25) Reorder the terms: 324 + 10x = 2(12 + 17x) + 2(13x + -25) 324 + 10x = (12 * 2 + 17x * 2) + 2(13x + -25) 324 + 10x = (24 + 34x) + 2(13x + -25) Reorder the terms: 324 + 10x = 24 + 34x + 2(-25 + 13x) 324 + 10x = 24 + 34x + (-25 * 2 + 13x * 2) 324 + 10x = 24 + 34x + (-50 + 26x) Reorder the terms: 324 + 10x = 24 + -50 + 34x + 26x Combine like terms: 24 + -50 = -26 324 + 10x = -26 + 34x + 26x Combine like terms: 34x + 26x = 60x 324 + 10x = -26 + 60x Solving 324 + 10x = -26 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 324 + 10x + -60x = -26 + 60x + -60x Combine like terms: 10x + -60x = -50x 324 + -50x = -26 + 60x + -60x Combine like terms: 60x + -60x = 0 324 + -50x = -26 + 0 324 + -50x = -26 Add '-324' to each side of the equation. 324 + -324 + -50x = -26 + -324 Combine like terms: 324 + -324 = 0 0 + -50x = -26 + -324 -50x = -26 + -324 Combine like terms: -26 + -324 = -350 -50x = -350 Divide each side by '-50'. x = 7 Simplifying x = 7
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