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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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