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