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Simplifying 13x + 20 + 17x = 36 + 28x Reorder the terms: 20 + 13x + 17x = 36 + 28x Combine like terms: 13x + 17x = 30x 20 + 30x = 36 + 28x Solving 20 + 30x = 36 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 20 + 30x + -28x = 36 + 28x + -28x Combine like terms: 30x + -28x = 2x 20 + 2x = 36 + 28x + -28x Combine like terms: 28x + -28x = 0 20 + 2x = 36 + 0 20 + 2x = 36 Add '-20' to each side of the equation. 20 + -20 + 2x = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 36 + -20 2x = 36 + -20 Combine like terms: 36 + -20 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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