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Simplifying 2(x + 4) + -5 = 17 + -5x Reorder the terms: 2(4 + x) + -5 = 17 + -5x (4 * 2 + x * 2) + -5 = 17 + -5x (8 + 2x) + -5 = 17 + -5x Reorder the terms: 8 + -5 + 2x = 17 + -5x Combine like terms: 8 + -5 = 3 3 + 2x = 17 + -5x Solving 3 + 2x = 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. 3 + 2x + 5x = 17 + -5x + 5x Combine like terms: 2x + 5x = 7x 3 + 7x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 7x = 17 + 0 3 + 7x = 17 Add '-3' to each side of the equation. 3 + -3 + 7x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 17 + -3 7x = 17 + -3 Combine like terms: 17 + -3 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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