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Simplifying -2(9 + -3x) + -1(5x + 2) = 0 (9 * -2 + -3x * -2) + -1(5x + 2) = 0 (-18 + 6x) + -1(5x + 2) = 0 Reorder the terms: -18 + 6x + -1(2 + 5x) = 0 -18 + 6x + (2 * -1 + 5x * -1) = 0 -18 + 6x + (-2 + -5x) = 0 Reorder the terms: -18 + -2 + 6x + -5x = 0 Combine like terms: -18 + -2 = -20 -20 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x -20 + 1x = 0 Solving -20 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 0 + 20 1x = 0 + 20 Combine like terms: 0 + 20 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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