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Simplifying 13x + 5 = 7x + 18 Reorder the terms: 5 + 13x = 7x + 18 Reorder the terms: 5 + 13x = 18 + 7x Solving 5 + 13x = 18 + 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 = 18 + 7x + -7x Combine like terms: 13x + -7x = 6x 5 + 6x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 6x = 18 + 0 5 + 6x = 18 Add '-5' to each side of the equation. 5 + -5 + 6x = 18 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 18 + -5 6x = 18 + -5 Combine like terms: 18 + -5 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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