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Simplifying (6x + 2) + (-7x + 1) = 0 Reorder the terms: (2 + 6x) + (-7x + 1) = 0 Remove parenthesis around (2 + 6x) 2 + 6x + (-7x + 1) = 0 Reorder the terms: 2 + 6x + (1 + -7x) = 0 Remove parenthesis around (1 + -7x) 2 + 6x + 1 + -7x = 0 Reorder the terms: 2 + 1 + 6x + -7x = 0 Combine like terms: 2 + 1 = 3 3 + 6x + -7x = 0 Combine like terms: 6x + -7x = -1x 3 + -1x = 0 Solving 3 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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