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Simplifying 2(5x + -9) = 3(3x + 2) + -20 Reorder the terms: 2(-9 + 5x) = 3(3x + 2) + -20 (-9 * 2 + 5x * 2) = 3(3x + 2) + -20 (-18 + 10x) = 3(3x + 2) + -20 Reorder the terms: -18 + 10x = 3(2 + 3x) + -20 -18 + 10x = (2 * 3 + 3x * 3) + -20 -18 + 10x = (6 + 9x) + -20 Reorder the terms: -18 + 10x = 6 + -20 + 9x Combine like terms: 6 + -20 = -14 -18 + 10x = -14 + 9x Solving -18 + 10x = -14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 10x + -9x = -14 + 9x + -9x Combine like terms: 10x + -9x = 1x -18 + 1x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 1x = -14 + 0 -18 + 1x = -14 Add '18' to each side of the equation. -18 + 18 + 1x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -14 + 18 1x = -14 + 18 Combine like terms: -14 + 18 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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