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Simplifying 4(5x + -2) + -1(x + -9) + 5(2x + -9) = 0 Reorder the terms: 4(-2 + 5x) + -1(x + -9) + 5(2x + -9) = 0 (-2 * 4 + 5x * 4) + -1(x + -9) + 5(2x + -9) = 0 (-8 + 20x) + -1(x + -9) + 5(2x + -9) = 0 Reorder the terms: -8 + 20x + -1(-9 + x) + 5(2x + -9) = 0 -8 + 20x + (-9 * -1 + x * -1) + 5(2x + -9) = 0 -8 + 20x + (9 + -1x) + 5(2x + -9) = 0 Reorder the terms: -8 + 20x + 9 + -1x + 5(-9 + 2x) = 0 -8 + 20x + 9 + -1x + (-9 * 5 + 2x * 5) = 0 -8 + 20x + 9 + -1x + (-45 + 10x) = 0 Reorder the terms: -8 + 9 + -45 + 20x + -1x + 10x = 0 Combine like terms: -8 + 9 = 1 1 + -45 + 20x + -1x + 10x = 0 Combine like terms: 1 + -45 = -44 -44 + 20x + -1x + 10x = 0 Combine like terms: 20x + -1x = 19x -44 + 19x + 10x = 0 Combine like terms: 19x + 10x = 29x -44 + 29x = 0 Solving -44 + 29x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 29x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 29x = 0 + 44 29x = 0 + 44 Combine like terms: 0 + 44 = 44 29x = 44 Divide each side by '29'. x = 1.517241379 Simplifying x = 1.517241379
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