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Simplifying -8(x + -6) + 6(-8x + 6) = 0 Reorder the terms: -8(-6 + x) + 6(-8x + 6) = 0 (-6 * -8 + x * -8) + 6(-8x + 6) = 0 (48 + -8x) + 6(-8x + 6) = 0 Reorder the terms: 48 + -8x + 6(6 + -8x) = 0 48 + -8x + (6 * 6 + -8x * 6) = 0 48 + -8x + (36 + -48x) = 0 Reorder the terms: 48 + 36 + -8x + -48x = 0 Combine like terms: 48 + 36 = 84 84 + -8x + -48x = 0 Combine like terms: -8x + -48x = -56x 84 + -56x = 0 Solving 84 + -56x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -56x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -56x = 0 + -84 -56x = 0 + -84 Combine like terms: 0 + -84 = -84 -56x = -84 Divide each side by '-56'. x = 1.5 Simplifying x = 1.5
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