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Simplifying (6x + 1) + (-7x + 7) = 0 Reorder the terms: (1 + 6x) + (-7x + 7) = 0 Remove parenthesis around (1 + 6x) 1 + 6x + (-7x + 7) = 0 Reorder the terms: 1 + 6x + (7 + -7x) = 0 Remove parenthesis around (7 + -7x) 1 + 6x + 7 + -7x = 0 Reorder the terms: 1 + 7 + 6x + -7x = 0 Combine like terms: 1 + 7 = 8 8 + 6x + -7x = 0 Combine like terms: 6x + -7x = -1x 8 + -1x = 0 Solving 8 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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