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Simplifying 2(3x + -9) = 5(x + 8) Reorder the terms: 2(-9 + 3x) = 5(x + 8) (-9 * 2 + 3x * 2) = 5(x + 8) (-18 + 6x) = 5(x + 8) Reorder the terms: -18 + 6x = 5(8 + x) -18 + 6x = (8 * 5 + x * 5) -18 + 6x = (40 + 5x) Solving -18 + 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. -18 + 6x + -5x = 40 + 5x + -5x Combine like terms: 6x + -5x = 1x -18 + 1x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 1x = 40 + 0 -18 + 1x = 40 Add '18' to each side of the equation. -18 + 18 + 1x = 40 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 40 + 18 1x = 40 + 18 Combine like terms: 40 + 18 = 58 1x = 58 Divide each side by '1'. x = 58 Simplifying x = 58
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