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Simplifying 7x + -2x + 1 = 3x + 11 Reorder the terms: 1 + 7x + -2x = 3x + 11 Combine like terms: 7x + -2x = 5x 1 + 5x = 3x + 11 Reorder the terms: 1 + 5x = 11 + 3x Solving 1 + 5x = 11 + 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 = 11 + 3x + -3x Combine like terms: 5x + -3x = 2x 1 + 2x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 2x = 11 + 0 1 + 2x = 11 Add '-1' to each side of the equation. 1 + -1 + 2x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 11 + -1 2x = 11 + -1 Combine like terms: 11 + -1 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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