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Simplifying -9(6x + 8) = 3(2x + -4) Reorder the terms: -9(8 + 6x) = 3(2x + -4) (8 * -9 + 6x * -9) = 3(2x + -4) (-72 + -54x) = 3(2x + -4) Reorder the terms: -72 + -54x = 3(-4 + 2x) -72 + -54x = (-4 * 3 + 2x * 3) -72 + -54x = (-12 + 6x) Solving -72 + -54x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -72 + -54x + -6x = -12 + 6x + -6x Combine like terms: -54x + -6x = -60x -72 + -60x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -72 + -60x = -12 + 0 -72 + -60x = -12 Add '72' to each side of the equation. -72 + 72 + -60x = -12 + 72 Combine like terms: -72 + 72 = 0 0 + -60x = -12 + 72 -60x = -12 + 72 Combine like terms: -12 + 72 = 60 -60x = 60 Divide each side by '-60'. x = -1 Simplifying x = -1
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