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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 = -18 -18 + 2x + -20x = 0 Combine like terms: 2x + -20x = -18x -18 + -18x = 0 Solving -18 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -18x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -18x = 0 + 18 -18x = 0 + 18 Combine like terms: 0 + 18 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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