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Simplifying 8(5x + 9) = 8(6x + -3) Reorder the terms: 8(9 + 5x) = 8(6x + -3) (9 * 8 + 5x * 8) = 8(6x + -3) (72 + 40x) = 8(6x + -3) Reorder the terms: 72 + 40x = 8(-3 + 6x) 72 + 40x = (-3 * 8 + 6x * 8) 72 + 40x = (-24 + 48x) Solving 72 + 40x = -24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 72 + 40x + -48x = -24 + 48x + -48x Combine like terms: 40x + -48x = -8x 72 + -8x = -24 + 48x + -48x Combine like terms: 48x + -48x = 0 72 + -8x = -24 + 0 72 + -8x = -24 Add '-72' to each side of the equation. 72 + -72 + -8x = -24 + -72 Combine like terms: 72 + -72 = 0 0 + -8x = -24 + -72 -8x = -24 + -72 Combine like terms: -24 + -72 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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