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Simplifying 8(1x + -9) = 6(2x + -12) + -4c Reorder the terms: 8(-9 + 1x) = 6(2x + -12) + -4c (-9 * 8 + 1x * 8) = 6(2x + -12) + -4c (-72 + 8x) = 6(2x + -12) + -4c Reorder the terms: -72 + 8x = 6(-12 + 2x) + -4c -72 + 8x = (-12 * 6 + 2x * 6) + -4c -72 + 8x = (-72 + 12x) + -4c Reorder the terms: -72 + 8x = -72 + -4c + 12x Add '72' to each side of the equation. -72 + 72 + 8x = -72 + -4c + 72 + 12x Combine like terms: -72 + 72 = 0 0 + 8x = -72 + -4c + 72 + 12x 8x = -72 + -4c + 72 + 12x Reorder the terms: 8x = -72 + 72 + -4c + 12x Combine like terms: -72 + 72 = 0 8x = 0 + -4c + 12x 8x = -4c + 12x Solving 8x = -4c + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8x + -12x = -4c + 12x + -12x Combine like terms: 8x + -12x = -4x -4x = -4c + 12x + -12x Combine like terms: 12x + -12x = 0 -4x = -4c + 0 -4x = -4c Divide each side by '-4'. x = c Simplifying x = c
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