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Simplifying 6x + (3 + -1x) = 7x + 1 Remove parenthesis around (3 + -1x) 6x + 3 + -1x = 7x + 1 Reorder the terms: 3 + 6x + -1x = 7x + 1 Combine like terms: 6x + -1x = 5x 3 + 5x = 7x + 1 Reorder the terms: 3 + 5x = 1 + 7x Solving 3 + 5x = 1 + 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. 3 + 5x + -7x = 1 + 7x + -7x Combine like terms: 5x + -7x = -2x 3 + -2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -2x = 1 + 0 3 + -2x = 1 Add '-3' to each side of the equation. 3 + -3 + -2x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 1 + -3 -2x = 1 + -3 Combine like terms: 1 + -3 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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