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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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