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Simplifying 13x + 5 = 8x + 75 Reorder the terms: 5 + 13x = 8x + 75 Reorder the terms: 5 + 13x = 75 + 8x Solving 5 + 13x = 75 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 13x + -8x = 75 + 8x + -8x Combine like terms: 13x + -8x = 5x 5 + 5x = 75 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 5x = 75 + 0 5 + 5x = 75 Add '-5' to each side of the equation. 5 + -5 + 5x = 75 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 75 + -5 5x = 75 + -5 Combine like terms: 75 + -5 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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