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Simplifying 13x + 7 = 25 + 5x + -10 Reorder the terms: 7 + 13x = 25 + 5x + -10 Reorder the terms: 7 + 13x = 25 + -10 + 5x Combine like terms: 25 + -10 = 15 7 + 13x = 15 + 5x Solving 7 + 13x = 15 + 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 = 15 + 5x + -5x Combine like terms: 13x + -5x = 8x 7 + 8x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 8x = 15 + 0 7 + 8x = 15 Add '-7' to each side of the equation. 7 + -7 + 8x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 15 + -7 8x = 15 + -7 Combine like terms: 15 + -7 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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