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Simplifying 12(3x + 4) + -6(2x + -4) = 4 + -68 Reorder the terms: 12(4 + 3x) + -6(2x + -4) = 4 + -68 (4 * 12 + 3x * 12) + -6(2x + -4) = 4 + -68 (48 + 36x) + -6(2x + -4) = 4 + -68 Reorder the terms: 48 + 36x + -6(-4 + 2x) = 4 + -68 48 + 36x + (-4 * -6 + 2x * -6) = 4 + -68 48 + 36x + (24 + -12x) = 4 + -68 Reorder the terms: 48 + 24 + 36x + -12x = 4 + -68 Combine like terms: 48 + 24 = 72 72 + 36x + -12x = 4 + -68 Combine like terms: 36x + -12x = 24x 72 + 24x = 4 + -68 Combine like terms: 4 + -68 = -64 72 + 24x = -64 Solving 72 + 24x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 24x = -64 + -72 Combine like terms: 72 + -72 = 0 0 + 24x = -64 + -72 24x = -64 + -72 Combine like terms: -64 + -72 = -136 24x = -136 Divide each side by '24'. x = -5.666666667 Simplifying x = -5.666666667
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