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Simplifying 13x + -5 = 7x + 13 Reorder the terms: -5 + 13x = 7x + 13 Reorder the terms: -5 + 13x = 13 + 7x Solving -5 + 13x = 13 + 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. -5 + 13x + -7x = 13 + 7x + -7x Combine like terms: 13x + -7x = 6x -5 + 6x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 6x = 13 + 0 -5 + 6x = 13 Add '5' to each side of the equation. -5 + 5 + 6x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 13 + 5 6x = 13 + 5 Combine like terms: 13 + 5 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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