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Simplifying 13x + -41 = 7x + 31 Reorder the terms: -41 + 13x = 7x + 31 Reorder the terms: -41 + 13x = 31 + 7x Solving -41 + 13x = 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. -41 + 13x + -7x = 31 + 7x + -7x Combine like terms: 13x + -7x = 6x -41 + 6x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 -41 + 6x = 31 + 0 -41 + 6x = 31 Add '41' to each side of the equation. -41 + 41 + 6x = 31 + 41 Combine like terms: -41 + 41 = 0 0 + 6x = 31 + 41 6x = 31 + 41 Combine like terms: 31 + 41 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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