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Simplifying 7x + -31 = 5x + 13 Reorder the terms: -31 + 7x = 5x + 13 Reorder the terms: -31 + 7x = 13 + 5x Solving -31 + 7x = 13 + 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. -31 + 7x + -5x = 13 + 5x + -5x Combine like terms: 7x + -5x = 2x -31 + 2x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -31 + 2x = 13 + 0 -31 + 2x = 13 Add '31' to each side of the equation. -31 + 31 + 2x = 13 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = 13 + 31 2x = 13 + 31 Combine like terms: 13 + 31 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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