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Simplifying 17 + 2x = 5 + -3(x + 1) Reorder the terms: 17 + 2x = 5 + -3(1 + x) 17 + 2x = 5 + (1 * -3 + x * -3) 17 + 2x = 5 + (-3 + -3x) Combine like terms: 5 + -3 = 2 17 + 2x = 2 + -3x Solving 17 + 2x = 2 + -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. 17 + 2x + 3x = 2 + -3x + 3x Combine like terms: 2x + 3x = 5x 17 + 5x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + 5x = 2 + 0 17 + 5x = 2 Add '-17' to each side of the equation. 17 + -17 + 5x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 2 + -17 5x = 2 + -17 Combine like terms: 2 + -17 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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