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Simplifying -8(2x + -9) = 6(2x + -10) Reorder the terms: -8(-9 + 2x) = 6(2x + -10) (-9 * -8 + 2x * -8) = 6(2x + -10) (72 + -16x) = 6(2x + -10) Reorder the terms: 72 + -16x = 6(-10 + 2x) 72 + -16x = (-10 * 6 + 2x * 6) 72 + -16x = (-60 + 12x) Solving 72 + -16x = -60 + 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 + -16x + -12x = -60 + 12x + -12x Combine like terms: -16x + -12x = -28x 72 + -28x = -60 + 12x + -12x Combine like terms: 12x + -12x = 0 72 + -28x = -60 + 0 72 + -28x = -60 Add '-72' to each side of the equation. 72 + -72 + -28x = -60 + -72 Combine like terms: 72 + -72 = 0 0 + -28x = -60 + -72 -28x = -60 + -72 Combine like terms: -60 + -72 = -132 -28x = -132 Divide each side by '-28'. x = 4.714285714 Simplifying x = 4.714285714
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