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Simplifying 24(x + 30) = 40x Reorder the terms: 24(30 + x) = 40x (30 * 24 + x * 24) = 40x (720 + 24x) = 40x Solving 720 + 24x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 720 + 24x + -40x = 40x + -40x Combine like terms: 24x + -40x = -16x 720 + -16x = 40x + -40x Combine like terms: 40x + -40x = 0 720 + -16x = 0 Add '-720' to each side of the equation. 720 + -720 + -16x = 0 + -720 Combine like terms: 720 + -720 = 0 0 + -16x = 0 + -720 -16x = 0 + -720 Combine like terms: 0 + -720 = -720 -16x = -720 Divide each side by '-16'. x = 45 Simplifying x = 45
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