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Simplifying 5x + -3x + 9 = 27 + -5x + -10 Reorder the terms: 9 + 5x + -3x = 27 + -5x + -10 Combine like terms: 5x + -3x = 2x 9 + 2x = 27 + -5x + -10 Reorder the terms: 9 + 2x = 27 + -10 + -5x Combine like terms: 27 + -10 = 17 9 + 2x = 17 + -5x Solving 9 + 2x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 9 + 2x + 5x = 17 + -5x + 5x Combine like terms: 2x + 5x = 7x 9 + 7x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 7x = 17 + 0 9 + 7x = 17 Add '-9' to each side of the equation. 9 + -9 + 7x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 17 + -9 7x = 17 + -9 Combine like terms: 17 + -9 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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