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Simplifying -8(6x + 9) = 8(3 + 6x) Reorder the terms: -8(9 + 6x) = 8(3 + 6x) (9 * -8 + 6x * -8) = 8(3 + 6x) (-72 + -48x) = 8(3 + 6x) -72 + -48x = (3 * 8 + 6x * 8) -72 + -48x = (24 + 48x) Solving -72 + -48x = 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 + -48x + -48x = 24 + 48x + -48x Combine like terms: -48x + -48x = -96x -72 + -96x = 24 + 48x + -48x Combine like terms: 48x + -48x = 0 -72 + -96x = 24 + 0 -72 + -96x = 24 Add '72' to each side of the equation. -72 + 72 + -96x = 24 + 72 Combine like terms: -72 + 72 = 0 0 + -96x = 24 + 72 -96x = 24 + 72 Combine like terms: 24 + 72 = 96 -96x = 96 Divide each side by '-96'. x = -1 Simplifying x = -1
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