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Simplifying -24 + 22x + 17x + 32x = -14x + 40 + -25 + -20x Combine like terms: 22x + 17x = 39x -24 + 39x + 32x = -14x + 40 + -25 + -20x Combine like terms: 39x + 32x = 71x -24 + 71x = -14x + 40 + -25 + -20x Reorder the terms: -24 + 71x = 40 + -25 + -14x + -20x Combine like terms: 40 + -25 = 15 -24 + 71x = 15 + -14x + -20x Combine like terms: -14x + -20x = -34x -24 + 71x = 15 + -34x Solving -24 + 71x = 15 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. -24 + 71x + 34x = 15 + -34x + 34x Combine like terms: 71x + 34x = 105x -24 + 105x = 15 + -34x + 34x Combine like terms: -34x + 34x = 0 -24 + 105x = 15 + 0 -24 + 105x = 15 Add '24' to each side of the equation. -24 + 24 + 105x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 105x = 15 + 24 105x = 15 + 24 Combine like terms: 15 + 24 = 39 105x = 39 Divide each side by '105'. x = 0.3714285714 Simplifying x = 0.3714285714
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