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Simplifying 10(X + 8) = 15(X + 1) Reorder the terms: 10(8 + X) = 15(X + 1) (8 * 10 + X * 10) = 15(X + 1) (80 + 10X) = 15(X + 1) Reorder the terms: 80 + 10X = 15(1 + X) 80 + 10X = (1 * 15 + X * 15) 80 + 10X = (15 + 15X) Solving 80 + 10X = 15 + 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. 80 + 10X + -15X = 15 + 15X + -15X Combine like terms: 10X + -15X = -5X 80 + -5X = 15 + 15X + -15X Combine like terms: 15X + -15X = 0 80 + -5X = 15 + 0 80 + -5X = 15 Add '-80' to each side of the equation. 80 + -80 + -5X = 15 + -80 Combine like terms: 80 + -80 = 0 0 + -5X = 15 + -80 -5X = 15 + -80 Combine like terms: 15 + -80 = -65 -5X = -65 Divide each side by '-5'. X = 13 Simplifying X = 13
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