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Simplifying 5x + 9 = -2x + -47 Reorder the terms: 9 + 5x = -2x + -47 Reorder the terms: 9 + 5x = -47 + -2x Solving 9 + 5x = -47 + -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. 9 + 5x + 2x = -47 + -2x + 2x Combine like terms: 5x + 2x = 7x 9 + 7x = -47 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 7x = -47 + 0 9 + 7x = -47 Add '-9' to each side of the equation. 9 + -9 + 7x = -47 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = -47 + -9 7x = -47 + -9 Combine like terms: -47 + -9 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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