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