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Simplifying 9(2x + -1) + -20 + 4x = 20(3x + -5) + -5 Reorder the terms: 9(-1 + 2x) + -20 + 4x = 20(3x + -5) + -5 (-1 * 9 + 2x * 9) + -20 + 4x = 20(3x + -5) + -5 (-9 + 18x) + -20 + 4x = 20(3x + -5) + -5 Reorder the terms: -9 + -20 + 18x + 4x = 20(3x + -5) + -5 Combine like terms: -9 + -20 = -29 -29 + 18x + 4x = 20(3x + -5) + -5 Combine like terms: 18x + 4x = 22x -29 + 22x = 20(3x + -5) + -5 Reorder the terms: -29 + 22x = 20(-5 + 3x) + -5 -29 + 22x = (-5 * 20 + 3x * 20) + -5 -29 + 22x = (-100 + 60x) + -5 Reorder the terms: -29 + 22x = -100 + -5 + 60x Combine like terms: -100 + -5 = -105 -29 + 22x = -105 + 60x Solving -29 + 22x = -105 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -29 + 22x + -60x = -105 + 60x + -60x Combine like terms: 22x + -60x = -38x -29 + -38x = -105 + 60x + -60x Combine like terms: 60x + -60x = 0 -29 + -38x = -105 + 0 -29 + -38x = -105 Add '29' to each side of the equation. -29 + 29 + -38x = -105 + 29 Combine like terms: -29 + 29 = 0 0 + -38x = -105 + 29 -38x = -105 + 29 Combine like terms: -105 + 29 = -76 -38x = -76 Divide each side by '-38'. x = 2 Simplifying x = 2
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