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Simplifying 24(x + 20) = 54x Reorder the terms: 24(20 + x) = 54x (20 * 24 + x * 24) = 54x (480 + 24x) = 54x Solving 480 + 24x = 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 480 + 24x + -54x = 54x + -54x Combine like terms: 24x + -54x = -30x 480 + -30x = 54x + -54x Combine like terms: 54x + -54x = 0 480 + -30x = 0 Add '-480' to each side of the equation. 480 + -480 + -30x = 0 + -480 Combine like terms: 480 + -480 = 0 0 + -30x = 0 + -480 -30x = 0 + -480 Combine like terms: 0 + -480 = -480 -30x = -480 Divide each side by '-30'. x = 16 Simplifying x = 16
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