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Simplifying 13x + 7 = 7x + 37 Reorder the terms: 7 + 13x = 7x + 37 Reorder the terms: 7 + 13x = 37 + 7x Solving 7 + 13x = 37 + 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. 7 + 13x + -7x = 37 + 7x + -7x Combine like terms: 13x + -7x = 6x 7 + 6x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 6x = 37 + 0 7 + 6x = 37 Add '-7' to each side of the equation. 7 + -7 + 6x = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 37 + -7 6x = 37 + -7 Combine like terms: 37 + -7 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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