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Simplifying 17x + 13 = 10x + 20 Reorder the terms: 13 + 17x = 10x + 20 Reorder the terms: 13 + 17x = 20 + 10x Solving 13 + 17x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 13 + 17x + -10x = 20 + 10x + -10x Combine like terms: 17x + -10x = 7x 13 + 7x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 13 + 7x = 20 + 0 13 + 7x = 20 Add '-13' to each side of the equation. 13 + -13 + 7x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 20 + -13 7x = 20 + -13 Combine like terms: 20 + -13 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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