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Simplifying 12(x + 15) = 17x Reorder the terms: 12(15 + x) = 17x (15 * 12 + x * 12) = 17x (180 + 12x) = 17x Solving 180 + 12x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 180 + 12x + -17x = 17x + -17x Combine like terms: 12x + -17x = -5x 180 + -5x = 17x + -17x Combine like terms: 17x + -17x = 0 180 + -5x = 0 Add '-180' to each side of the equation. 180 + -180 + -5x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -5x = 0 + -180 -5x = 0 + -180 Combine like terms: 0 + -180 = -180 -5x = -180 Divide each side by '-5'. x = 36 Simplifying x = 36
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