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Simplifying 13x + -52 = 7x + 32 Reorder the terms: -52 + 13x = 7x + 32 Reorder the terms: -52 + 13x = 32 + 7x Solving -52 + 13x = 32 + 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 = 32 + 7x + -7x Combine like terms: 13x + -7x = 6x -52 + 6x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 -52 + 6x = 32 + 0 -52 + 6x = 32 Add '52' to each side of the equation. -52 + 52 + 6x = 32 + 52 Combine like terms: -52 + 52 = 0 0 + 6x = 32 + 52 6x = 32 + 52 Combine like terms: 32 + 52 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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