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Simplifying 2x + 9 = 7x + -31 Reorder the terms: 9 + 2x = 7x + -31 Reorder the terms: 9 + 2x = -31 + 7x Solving 9 + 2x = -31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + 2x + -7x = -31 + 7x + -7x Combine like terms: 2x + -7x = -5x 9 + -5x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -5x = -31 + 0 9 + -5x = -31 Add '-9' to each side of the equation. 9 + -9 + -5x = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -31 + -9 -5x = -31 + -9 Combine like terms: -31 + -9 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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