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