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Simplifying 8(x + -9) = 6(2x + -12) + -4 Reorder the terms: 8(-9 + x) = 6(2x + -12) + -4 (-9 * 8 + x * 8) = 6(2x + -12) + -4 (-72 + 8x) = 6(2x + -12) + -4 Reorder the terms: -72 + 8x = 6(-12 + 2x) + -4 -72 + 8x = (-12 * 6 + 2x * 6) + -4 -72 + 8x = (-72 + 12x) + -4 Reorder the terms: -72 + 8x = -72 + -4 + 12x Combine like terms: -72 + -4 = -76 -72 + 8x = -76 + 12x Solving -72 + 8x = -76 + 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. -72 + 8x + -12x = -76 + 12x + -12x Combine like terms: 8x + -12x = -4x -72 + -4x = -76 + 12x + -12x Combine like terms: 12x + -12x = 0 -72 + -4x = -76 + 0 -72 + -4x = -76 Add '72' to each side of the equation. -72 + 72 + -4x = -76 + 72 Combine like terms: -72 + 72 = 0 0 + -4x = -76 + 72 -4x = -76 + 72 Combine like terms: -76 + 72 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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