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Simplifying 4(x + 24) = 5(x + 6) Reorder the terms: 4(24 + x) = 5(x + 6) (24 * 4 + x * 4) = 5(x + 6) (96 + 4x) = 5(x + 6) Reorder the terms: 96 + 4x = 5(6 + x) 96 + 4x = (6 * 5 + x * 5) 96 + 4x = (30 + 5x) Solving 96 + 4x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 96 + 4x + -5x = 30 + 5x + -5x Combine like terms: 4x + -5x = -1x 96 + -1x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 96 + -1x = 30 + 0 96 + -1x = 30 Add '-96' to each side of the equation. 96 + -96 + -1x = 30 + -96 Combine like terms: 96 + -96 = 0 0 + -1x = 30 + -96 -1x = 30 + -96 Combine like terms: 30 + -96 = -66 -1x = -66 Divide each side by '-1'. x = 66 Simplifying x = 66
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