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