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Simplifying 5x + -24 + 45 + 10 = 14 + -2x + 25 Reorder the terms: -24 + 45 + 10 + 5x = 14 + -2x + 25 Combine like terms: -24 + 45 = 21 21 + 10 + 5x = 14 + -2x + 25 Combine like terms: 21 + 10 = 31 31 + 5x = 14 + -2x + 25 Reorder the terms: 31 + 5x = 14 + 25 + -2x Combine like terms: 14 + 25 = 39 31 + 5x = 39 + -2x Solving 31 + 5x = 39 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 31 + 5x + 2x = 39 + -2x + 2x Combine like terms: 5x + 2x = 7x 31 + 7x = 39 + -2x + 2x Combine like terms: -2x + 2x = 0 31 + 7x = 39 + 0 31 + 7x = 39 Add '-31' to each side of the equation. 31 + -31 + 7x = 39 + -31 Combine like terms: 31 + -31 = 0 0 + 7x = 39 + -31 7x = 39 + -31 Combine like terms: 39 + -31 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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