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Simplifying 6(x + 4) = 5(x + 8) Reorder the terms: 6(4 + x) = 5(x + 8) (4 * 6 + x * 6) = 5(x + 8) (24 + 6x) = 5(x + 8) Reorder the terms: 24 + 6x = 5(8 + x) 24 + 6x = (8 * 5 + x * 5) 24 + 6x = (40 + 5x) Solving 24 + 6x = 40 + 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. 24 + 6x + -5x = 40 + 5x + -5x Combine like terms: 6x + -5x = 1x 24 + 1x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 1x = 40 + 0 24 + 1x = 40 Add '-24' to each side of the equation. 24 + -24 + 1x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 40 + -24 1x = 40 + -24 Combine like terms: 40 + -24 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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