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Simplifying 12(3x + 6) + -7(2x + -4) = 4x + -20 Reorder the terms: 12(6 + 3x) + -7(2x + -4) = 4x + -20 (6 * 12 + 3x * 12) + -7(2x + -4) = 4x + -20 (72 + 36x) + -7(2x + -4) = 4x + -20 Reorder the terms: 72 + 36x + -7(-4 + 2x) = 4x + -20 72 + 36x + (-4 * -7 + 2x * -7) = 4x + -20 72 + 36x + (28 + -14x) = 4x + -20 Reorder the terms: 72 + 28 + 36x + -14x = 4x + -20 Combine like terms: 72 + 28 = 100 100 + 36x + -14x = 4x + -20 Combine like terms: 36x + -14x = 22x 100 + 22x = 4x + -20 Reorder the terms: 100 + 22x = -20 + 4x Solving 100 + 22x = -20 + 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. 100 + 22x + -4x = -20 + 4x + -4x Combine like terms: 22x + -4x = 18x 100 + 18x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 100 + 18x = -20 + 0 100 + 18x = -20 Add '-100' to each side of the equation. 100 + -100 + 18x = -20 + -100 Combine like terms: 100 + -100 = 0 0 + 18x = -20 + -100 18x = -20 + -100 Combine like terms: -20 + -100 = -120 18x = -120 Divide each side by '18'. x = -6.666666667 Simplifying x = -6.666666667
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