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Simplifying 3x + 1 = 6 + -7x Reorder the terms: 1 + 3x = 6 + -7x Solving 1 + 3x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 1 + 3x + 7x = 6 + -7x + 7x Combine like terms: 3x + 7x = 10x 1 + 10x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 10x = 6 + 0 1 + 10x = 6 Add '-1' to each side of the equation. 1 + -1 + 10x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 6 + -1 10x = 6 + -1 Combine like terms: 6 + -1 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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