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Simplifying 13x + -31 = 7x + 17 Reorder the terms: -31 + 13x = 7x + 17 Reorder the terms: -31 + 13x = 17 + 7x Solving -31 + 13x = 17 + 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. -31 + 13x + -7x = 17 + 7x + -7x Combine like terms: 13x + -7x = 6x -31 + 6x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 -31 + 6x = 17 + 0 -31 + 6x = 17 Add '31' to each side of the equation. -31 + 31 + 6x = 17 + 31 Combine like terms: -31 + 31 = 0 0 + 6x = 17 + 31 6x = 17 + 31 Combine like terms: 17 + 31 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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