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Simplifying 5x + 24 = 14x + -47 Reorder the terms: 24 + 5x = 14x + -47 Reorder the terms: 24 + 5x = -47 + 14x Solving 24 + 5x = -47 + 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 = -47 + 14x + -14x Combine like terms: 5x + -14x = -9x 24 + -9x = -47 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + -9x = -47 + 0 24 + -9x = -47 Add '-24' to each side of the equation. 24 + -24 + -9x = -47 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = -47 + -24 -9x = -47 + -24 Combine like terms: -47 + -24 = -71 -9x = -71 Divide each side by '-9'. x = 7.888888889 Simplifying x = 7.888888889
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