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