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Simplifying 4(5x + 6) + 2(12 + -1x) = 0 Reorder the terms: 4(6 + 5x) + 2(12 + -1x) = 0 (6 * 4 + 5x * 4) + 2(12 + -1x) = 0 (24 + 20x) + 2(12 + -1x) = 0 24 + 20x + (12 * 2 + -1x * 2) = 0 24 + 20x + (24 + -2x) = 0 Reorder the terms: 24 + 24 + 20x + -2x = 0 Combine like terms: 24 + 24 = 48 48 + 20x + -2x = 0 Combine like terms: 20x + -2x = 18x 48 + 18x = 0 Solving 48 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 18x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 18x = 0 + -48 18x = 0 + -48 Combine like terms: 0 + -48 = -48 18x = -48 Divide each side by '18'. x = -2.666666667 Simplifying x = -2.666666667
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