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Simplifying 8(x + -9) = 6(2c + -12) + -4c Reorder the terms: 8(-9 + x) = 6(2c + -12) + -4c (-9 * 8 + x * 8) = 6(2c + -12) + -4c (-72 + 8x) = 6(2c + -12) + -4c Reorder the terms: -72 + 8x = 6(-12 + 2c) + -4c -72 + 8x = (-12 * 6 + 2c * 6) + -4c -72 + 8x = (-72 + 12c) + -4c Combine like terms: 12c + -4c = 8c -72 + 8x = -72 + 8c Add '72' to each side of the equation. -72 + 72 + 8x = -72 + 72 + 8c Combine like terms: -72 + 72 = 0 0 + 8x = -72 + 72 + 8c 8x = -72 + 72 + 8c Combine like terms: -72 + 72 = 0 8x = 0 + 8c 8x = 8c Solving 8x = 8c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '8'. x = c Simplifying x = c
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