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Simplifying 2(1 + 5x) + 5 = 17 + 5x (1 * 2 + 5x * 2) + 5 = 17 + 5x (2 + 10x) + 5 = 17 + 5x Reorder the terms: 2 + 5 + 10x = 17 + 5x Combine like terms: 2 + 5 = 7 7 + 10x = 17 + 5x Solving 7 + 10x = 17 + 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 + 10x + -5x = 17 + 5x + -5x Combine like terms: 10x + -5x = 5x 7 + 5x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 5x = 17 + 0 7 + 5x = 17 Add '-7' to each side of the equation. 7 + -7 + 5x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 17 + -7 5x = 17 + -7 Combine like terms: 17 + -7 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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