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Simplifying 13x + 7 = 5x + 39 Reorder the terms: 7 + 13x = 5x + 39 Reorder the terms: 7 + 13x = 39 + 5x Solving 7 + 13x = 39 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 13x + -5x = 39 + 5x + -5x Combine like terms: 13x + -5x = 8x 7 + 8x = 39 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 8x = 39 + 0 7 + 8x = 39 Add '-7' to each side of the equation. 7 + -7 + 8x = 39 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 39 + -7 8x = 39 + -7 Combine like terms: 39 + -7 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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