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Simplifying 60(x + 6) = 74x Reorder the terms: 60(6 + x) = 74x (6 * 60 + x * 60) = 74x (360 + 60x) = 74x Solving 360 + 60x = 74x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74x' to each side of the equation. 360 + 60x + -74x = 74x + -74x Combine like terms: 60x + -74x = -14x 360 + -14x = 74x + -74x Combine like terms: 74x + -74x = 0 360 + -14x = 0 Add '-360' to each side of the equation. 360 + -360 + -14x = 0 + -360 Combine like terms: 360 + -360 = 0 0 + -14x = 0 + -360 -14x = 0 + -360 Combine like terms: 0 + -360 = -360 -14x = -360 Divide each side by '-14'. x = 25.71428571 Simplifying x = 25.71428571
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