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Simplifying 6 + 5(x + -6) = 6 + -8(x + -9) Reorder the terms: 6 + 5(-6 + x) = 6 + -8(x + -9) 6 + (-6 * 5 + x * 5) = 6 + -8(x + -9) 6 + (-30 + 5x) = 6 + -8(x + -9) Combine like terms: 6 + -30 = -24 -24 + 5x = 6 + -8(x + -9) Reorder the terms: -24 + 5x = 6 + -8(-9 + x) -24 + 5x = 6 + (-9 * -8 + x * -8) -24 + 5x = 6 + (72 + -8x) Combine like terms: 6 + 72 = 78 -24 + 5x = 78 + -8x Solving -24 + 5x = 78 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + 5x + 8x = 78 + -8x + 8x Combine like terms: 5x + 8x = 13x -24 + 13x = 78 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 13x = 78 + 0 -24 + 13x = 78 Add '24' to each side of the equation. -24 + 24 + 13x = 78 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = 78 + 24 13x = 78 + 24 Combine like terms: 78 + 24 = 102 13x = 102 Divide each side by '13'. x = 7.846153846 Simplifying x = 7.846153846
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