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Simplifying 13x + 52 = 7x + 34 Reorder the terms: 52 + 13x = 7x + 34 Reorder the terms: 52 + 13x = 34 + 7x Solving 52 + 13x = 34 + 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. 52 + 13x + -7x = 34 + 7x + -7x Combine like terms: 13x + -7x = 6x 52 + 6x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + 6x = 34 + 0 52 + 6x = 34 Add '-52' to each side of the equation. 52 + -52 + 6x = 34 + -52 Combine like terms: 52 + -52 = 0 0 + 6x = 34 + -52 6x = 34 + -52 Combine like terms: 34 + -52 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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