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Simplifying -2(x + -3) + 4(5x + 6) = 0 Reorder the terms: -2(-3 + x) + 4(5x + 6) = 0 (-3 * -2 + x * -2) + 4(5x + 6) = 0 (6 + -2x) + 4(5x + 6) = 0 Reorder the terms: 6 + -2x + 4(6 + 5x) = 0 6 + -2x + (6 * 4 + 5x * 4) = 0 6 + -2x + (24 + 20x) = 0 Reorder the terms: 6 + 24 + -2x + 20x = 0 Combine like terms: 6 + 24 = 30 30 + -2x + 20x = 0 Combine like terms: -2x + 20x = 18x 30 + 18x = 0 Solving 30 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 18x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 18x = 0 + -30 18x = 0 + -30 Combine like terms: 0 + -30 = -30 18x = -30 Divide each side by '18'. x = -1.666666667 Simplifying x = -1.666666667
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