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Simplifying 24x + -1(5 + -10x) + -1(9 + -4x) + -5 = 0 24x + (5 * -1 + -10x * -1) + -1(9 + -4x) + -5 = 0 24x + (-5 + 10x) + -1(9 + -4x) + -5 = 0 24x + -5 + 10x + (9 * -1 + -4x * -1) + -5 = 0 24x + -5 + 10x + (-9 + 4x) + -5 = 0 Reorder the terms: -5 + -9 + -5 + 24x + 10x + 4x = 0 Combine like terms: -5 + -9 = -14 -14 + -5 + 24x + 10x + 4x = 0 Combine like terms: -14 + -5 = -19 -19 + 24x + 10x + 4x = 0 Combine like terms: 24x + 10x = 34x -19 + 34x + 4x = 0 Combine like terms: 34x + 4x = 38x -19 + 38x = 0 Solving -19 + 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 38x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 38x = 0 + 19 38x = 0 + 19 Combine like terms: 0 + 19 = 19 38x = 19 Divide each side by '38'. x = 0.5 Simplifying x = 0.5
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