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Simplifying 3x + 7x + 1 = (5x + 1) Reorder the terms: 1 + 3x + 7x = (5x + 1) Combine like terms: 3x + 7x = 10x 1 + 10x = (5x + 1) Reorder the terms: 1 + 10x = (1 + 5x) Remove parenthesis around (1 + 5x) 1 + 10x = 1 + 5x Add '-1' to each side of the equation. 1 + -1 + 10x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 0 + 10x = 1 + -1 + 5x 10x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 10x = 0 + 5x 10x = 5x Solving 10x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10x + -5x = 5x + -5x Combine like terms: 10x + -5x = 5x 5x = 5x + -5x Combine like terms: 5x + -5x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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