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Simplifying 13x + 7 = 8x + 27 Reorder the terms: 7 + 13x = 8x + 27 Reorder the terms: 7 + 13x = 27 + 8x Solving 7 + 13x = 27 + 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. 7 + 13x + -8x = 27 + 8x + -8x Combine like terms: 13x + -8x = 5x 7 + 5x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 5x = 27 + 0 7 + 5x = 27 Add '-7' to each side of the equation. 7 + -7 + 5x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 27 + -7 5x = 27 + -7 Combine like terms: 27 + -7 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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