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Simplifying -10(-12x + 9) = -6(8x + -9) Reorder the terms: -10(9 + -12x) = -6(8x + -9) (9 * -10 + -12x * -10) = -6(8x + -9) (-90 + 120x) = -6(8x + -9) Reorder the terms: -90 + 120x = -6(-9 + 8x) -90 + 120x = (-9 * -6 + 8x * -6) -90 + 120x = (54 + -48x) Solving -90 + 120x = 54 + -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. -90 + 120x + 48x = 54 + -48x + 48x Combine like terms: 120x + 48x = 168x -90 + 168x = 54 + -48x + 48x Combine like terms: -48x + 48x = 0 -90 + 168x = 54 + 0 -90 + 168x = 54 Add '90' to each side of the equation. -90 + 90 + 168x = 54 + 90 Combine like terms: -90 + 90 = 0 0 + 168x = 54 + 90 168x = 54 + 90 Combine like terms: 54 + 90 = 144 168x = 144 Divide each side by '168'. x = 0.8571428571 Simplifying x = 0.8571428571
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