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Simplifying 2x + 17 = -1(3 + -7x) Reorder the terms: 17 + 2x = -1(3 + -7x) 17 + 2x = (3 * -1 + -7x * -1) 17 + 2x = (-3 + 7x) Solving 17 + 2x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 2x + -7x = -3 + 7x + -7x Combine like terms: 2x + -7x = -5x 17 + -5x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -5x = -3 + 0 17 + -5x = -3 Add '-17' to each side of the equation. 17 + -17 + -5x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = -3 + -17 -5x = -3 + -17 Combine like terms: -3 + -17 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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