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Simplifying 52x + 14 = 13x + 53 Reorder the terms: 14 + 52x = 13x + 53 Reorder the terms: 14 + 52x = 53 + 13x Solving 14 + 52x = 53 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 14 + 52x + -13x = 53 + 13x + -13x Combine like terms: 52x + -13x = 39x 14 + 39x = 53 + 13x + -13x Combine like terms: 13x + -13x = 0 14 + 39x = 53 + 0 14 + 39x = 53 Add '-14' to each side of the equation. 14 + -14 + 39x = 53 + -14 Combine like terms: 14 + -14 = 0 0 + 39x = 53 + -14 39x = 53 + -14 Combine like terms: 53 + -14 = 39 39x = 39 Divide each side by '39'. x = 1 Simplifying x = 1
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