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Simplifying 3(2x + -8) = 5(x + 9) Reorder the terms: 3(-8 + 2x) = 5(x + 9) (-8 * 3 + 2x * 3) = 5(x + 9) (-24 + 6x) = 5(x + 9) Reorder the terms: -24 + 6x = 5(9 + x) -24 + 6x = (9 * 5 + x * 5) -24 + 6x = (45 + 5x) Solving -24 + 6x = 45 + 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 = 45 + 5x + -5x Combine like terms: 6x + -5x = 1x -24 + 1x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 1x = 45 + 0 -24 + 1x = 45 Add '24' to each side of the equation. -24 + 24 + 1x = 45 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 45 + 24 1x = 45 + 24 Combine like terms: 45 + 24 = 69 1x = 69 Divide each side by '1'. x = 69 Simplifying x = 69
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