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Simplifying 2 + 2(x) = 17 + (x) * 2 + -5(x) Reorder the terms for easier multiplication: 2 + 2x = 17 + 2x + -5(x) Combine like terms: 2x + -5x = -3x 2 + 2x = 17 + -3x Solving 2 + 2x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 2x + 3x = 17 + -3x + 3x Combine like terms: 2x + 3x = 5x 2 + 5x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 5x = 17 + 0 2 + 5x = 17 Add '-2' to each side of the equation. 2 + -2 + 5x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 17 + -2 5x = 17 + -2 Combine like terms: 17 + -2 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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