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Simplifying 12(3 + 3) + -6(2x + -6) = 4x + -68 Combine like terms: 3 + 3 = 6 12(6) + -6(2x + -6) = 4x + -68 Multiply 12 * 6 72 + -6(2x + -6) = 4x + -68 Reorder the terms: 72 + -6(-6 + 2x) = 4x + -68 72 + (-6 * -6 + 2x * -6) = 4x + -68 72 + (36 + -12x) = 4x + -68 Combine like terms: 72 + 36 = 108 108 + -12x = 4x + -68 Reorder the terms: 108 + -12x = -68 + 4x Solving 108 + -12x = -68 + 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. 108 + -12x + -4x = -68 + 4x + -4x Combine like terms: -12x + -4x = -16x 108 + -16x = -68 + 4x + -4x Combine like terms: 4x + -4x = 0 108 + -16x = -68 + 0 108 + -16x = -68 Add '-108' to each side of the equation. 108 + -108 + -16x = -68 + -108 Combine like terms: 108 + -108 = 0 0 + -16x = -68 + -108 -16x = -68 + -108 Combine like terms: -68 + -108 = -176 -16x = -176 Divide each side by '-16'. x = 11 Simplifying x = 11
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