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Simplifying 7x + 1 + -2x = 2x + 17 + 1x Reorder the terms: 1 + 7x + -2x = 2x + 17 + 1x Combine like terms: 7x + -2x = 5x 1 + 5x = 2x + 17 + 1x Reorder the terms: 1 + 5x = 17 + 2x + 1x Combine like terms: 2x + 1x = 3x 1 + 5x = 17 + 3x Solving 1 + 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. 1 + 5x + -3x = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x 1 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 2x = 17 + 0 1 + 2x = 17 Add '-1' to each side of the equation. 1 + -1 + 2x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 17 + -1 2x = 17 + -1 Combine like terms: 17 + -1 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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