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