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Simplifying 7x + 5 + -2x = 3x + -17 Reorder the terms: 5 + 7x + -2x = 3x + -17 Combine like terms: 7x + -2x = 5x 5 + 5x = 3x + -17 Reorder the terms: 5 + 5x = -17 + 3x Solving 5 + 5x = -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. 5 + 5x + -3x = -17 + 3x + -3x Combine like terms: 5x + -3x = 2x 5 + 2x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 2x = -17 + 0 5 + 2x = -17 Add '-5' to each side of the equation. 5 + -5 + 2x = -17 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -17 + -5 2x = -17 + -5 Combine like terms: -17 + -5 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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