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Simplifying 5x + -24 = 14x + -75 Reorder the terms: -24 + 5x = 14x + -75 Reorder the terms: -24 + 5x = -75 + 14x Solving -24 + 5x = -75 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -24 + 5x + -14x = -75 + 14x + -14x Combine like terms: 5x + -14x = -9x -24 + -9x = -75 + 14x + -14x Combine like terms: 14x + -14x = 0 -24 + -9x = -75 + 0 -24 + -9x = -75 Add '24' to each side of the equation. -24 + 24 + -9x = -75 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = -75 + 24 -9x = -75 + 24 Combine like terms: -75 + 24 = -51 -9x = -51 Divide each side by '-9'. x = 5.666666667 Simplifying x = 5.666666667
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