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Simplifying 34(5 + -3X) = 12(3X + -8) + 653.5 (5 * 34 + -3X * 34) = 12(3X + -8) + 653.5 (170 + -102X) = 12(3X + -8) + 653.5 Reorder the terms: 170 + -102X = 12(-8 + 3X) + 653.5 170 + -102X = (-8 * 12 + 3X * 12) + 653.5 170 + -102X = (-96 + 36X) + 653.5 Reorder the terms: 170 + -102X = -96 + 653.5 + 36X Combine like terms: -96 + 653.5 = 557.5 170 + -102X = 557.5 + 36X Solving 170 + -102X = 557.5 + 36X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-36X' to each side of the equation. 170 + -102X + -36X = 557.5 + 36X + -36X Combine like terms: -102X + -36X = -138X 170 + -138X = 557.5 + 36X + -36X Combine like terms: 36X + -36X = 0 170 + -138X = 557.5 + 0 170 + -138X = 557.5 Add '-170' to each side of the equation. 170 + -170 + -138X = 557.5 + -170 Combine like terms: 170 + -170 = 0 0 + -138X = 557.5 + -170 -138X = 557.5 + -170 Combine like terms: 557.5 + -170 = 387.5 -138X = 387.5 Divide each side by '-138'. X = -2.807971014 Simplifying X = -2.807971014
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