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Simplifying -8(x + 9) = 6(-4 + -2x) Reorder the terms: -8(9 + x) = 6(-4 + -2x) (9 * -8 + x * -8) = 6(-4 + -2x) (-72 + -8x) = 6(-4 + -2x) -72 + -8x = (-4 * 6 + -2x * 6) -72 + -8x = (-24 + -12x) Solving -72 + -8x = -24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -72 + -8x + 12x = -24 + -12x + 12x Combine like terms: -8x + 12x = 4x -72 + 4x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 -72 + 4x = -24 + 0 -72 + 4x = -24 Add '72' to each side of the equation. -72 + 72 + 4x = -24 + 72 Combine like terms: -72 + 72 = 0 0 + 4x = -24 + 72 4x = -24 + 72 Combine like terms: -24 + 72 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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