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Simplifying 6(x + 8) + -8(-9x + 9) = -102 Reorder the terms: 6(8 + x) + -8(-9x + 9) = -102 (8 * 6 + x * 6) + -8(-9x + 9) = -102 (48 + 6x) + -8(-9x + 9) = -102 Reorder the terms: 48 + 6x + -8(9 + -9x) = -102 48 + 6x + (9 * -8 + -9x * -8) = -102 48 + 6x + (-72 + 72x) = -102 Reorder the terms: 48 + -72 + 6x + 72x = -102 Combine like terms: 48 + -72 = -24 -24 + 6x + 72x = -102 Combine like terms: 6x + 72x = 78x -24 + 78x = -102 Solving -24 + 78x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 78x = -102 + 24 Combine like terms: -24 + 24 = 0 0 + 78x = -102 + 24 78x = -102 + 24 Combine like terms: -102 + 24 = -78 78x = -78 Divide each side by '78'. x = -1 Simplifying x = -1
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