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Simplifying 9(x + -5) + -4(5 + -1x) + 5(x + -5) = 0 Reorder the terms: 9(-5 + x) + -4(5 + -1x) + 5(x + -5) = 0 (-5 * 9 + x * 9) + -4(5 + -1x) + 5(x + -5) = 0 (-45 + 9x) + -4(5 + -1x) + 5(x + -5) = 0 -45 + 9x + (5 * -4 + -1x * -4) + 5(x + -5) = 0 -45 + 9x + (-20 + 4x) + 5(x + -5) = 0 Reorder the terms: -45 + 9x + -20 + 4x + 5(-5 + x) = 0 -45 + 9x + -20 + 4x + (-5 * 5 + x * 5) = 0 -45 + 9x + -20 + 4x + (-25 + 5x) = 0 Reorder the terms: -45 + -20 + -25 + 9x + 4x + 5x = 0 Combine like terms: -45 + -20 = -65 -65 + -25 + 9x + 4x + 5x = 0 Combine like terms: -65 + -25 = -90 -90 + 9x + 4x + 5x = 0 Combine like terms: 9x + 4x = 13x -90 + 13x + 5x = 0 Combine like terms: 13x + 5x = 18x -90 + 18x = 0 Solving -90 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 18x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 18x = 0 + 90 18x = 0 + 90 Combine like terms: 0 + 90 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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