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Simplifying 2x + -9x + 7 = 5x + 31 Reorder the terms: 7 + 2x + -9x = 5x + 31 Combine like terms: 2x + -9x = -7x 7 + -7x = 5x + 31 Reorder the terms: 7 + -7x = 31 + 5x Solving 7 + -7x = 31 + 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. 7 + -7x + -5x = 31 + 5x + -5x Combine like terms: -7x + -5x = -12x 7 + -12x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -12x = 31 + 0 7 + -12x = 31 Add '-7' to each side of the equation. 7 + -7 + -12x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 31 + -7 -12x = 31 + -7 Combine like terms: 31 + -7 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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