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Simplifying 3(5x + 8) = 8(2x + -9) Reorder the terms: 3(8 + 5x) = 8(2x + -9) (8 * 3 + 5x * 3) = 8(2x + -9) (24 + 15x) = 8(2x + -9) Reorder the terms: 24 + 15x = 8(-9 + 2x) 24 + 15x = (-9 * 8 + 2x * 8) 24 + 15x = (-72 + 16x) Solving 24 + 15x = -72 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + 15x + -16x = -72 + 16x + -16x Combine like terms: 15x + -16x = -1x 24 + -1x = -72 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + -1x = -72 + 0 24 + -1x = -72 Add '-24' to each side of the equation. 24 + -24 + -1x = -72 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -72 + -24 -1x = -72 + -24 Combine like terms: -72 + -24 = -96 -1x = -96 Divide each side by '-1'. x = 96 Simplifying x = 96
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