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Simplifying 8(12 + -4X) = 5(3X + 15) (12 * 8 + -4X * 8) = 5(3X + 15) (96 + -32X) = 5(3X + 15) Reorder the terms: 96 + -32X = 5(15 + 3X) 96 + -32X = (15 * 5 + 3X * 5) 96 + -32X = (75 + 15X) Solving 96 + -32X = 75 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. 96 + -32X + -15X = 75 + 15X + -15X Combine like terms: -32X + -15X = -47X 96 + -47X = 75 + 15X + -15X Combine like terms: 15X + -15X = 0 96 + -47X = 75 + 0 96 + -47X = 75 Add '-96' to each side of the equation. 96 + -96 + -47X = 75 + -96 Combine like terms: 96 + -96 = 0 0 + -47X = 75 + -96 -47X = 75 + -96 Combine like terms: 75 + -96 = -21 -47X = -21 Divide each side by '-47'. X = 0.4468085106 Simplifying X = 0.4468085106
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