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Simplifying 6(x + -12) = 8(x + 12) Reorder the terms: 6(-12 + x) = 8(x + 12) (-12 * 6 + x * 6) = 8(x + 12) (-72 + 6x) = 8(x + 12) Reorder the terms: -72 + 6x = 8(12 + x) -72 + 6x = (12 * 8 + x * 8) -72 + 6x = (96 + 8x) Solving -72 + 6x = 96 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -72 + 6x + -8x = 96 + 8x + -8x Combine like terms: 6x + -8x = -2x -72 + -2x = 96 + 8x + -8x Combine like terms: 8x + -8x = 0 -72 + -2x = 96 + 0 -72 + -2x = 96 Add '72' to each side of the equation. -72 + 72 + -2x = 96 + 72 Combine like terms: -72 + 72 = 0 0 + -2x = 96 + 72 -2x = 96 + 72 Combine like terms: 96 + 72 = 168 -2x = 168 Divide each side by '-2'. x = -84 Simplifying x = -84
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