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Simplifying -2x + 2 = -7x + 17 Reorder the terms: 2 + -2x = -7x + 17 Reorder the terms: 2 + -2x = 17 + -7x Solving 2 + -2x = 17 + -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. 2 + -2x + 7x = 17 + -7x + 7x Combine like terms: -2x + 7x = 5x 2 + 5x = 17 + -7x + 7x Combine like terms: -7x + 7x = 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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