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Simplifying 7x + 1 = 61 + -3x Reorder the terms: 1 + 7x = 61 + -3x Solving 1 + 7x = 61 + -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 + 7x + 3x = 61 + -3x + 3x Combine like terms: 7x + 3x = 10x 1 + 10x = 61 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 10x = 61 + 0 1 + 10x = 61 Add '-1' to each side of the equation. 1 + -1 + 10x = 61 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 61 + -1 10x = 61 + -1 Combine like terms: 61 + -1 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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