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Simplifying 2x + 9 = -5x + 37 Reorder the terms: 9 + 2x = -5x + 37 Reorder the terms: 9 + 2x = 37 + -5x Solving 9 + 2x = 37 + -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 = 37 + -5x + 5x Combine like terms: 2x + 5x = 7x 9 + 7x = 37 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 7x = 37 + 0 9 + 7x = 37 Add '-9' to each side of the equation. 9 + -9 + 7x = 37 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 37 + -9 7x = 37 + -9 Combine like terms: 37 + -9 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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