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Simplifying (6x + 6) + -1(5x + -1) = 0 Reorder the terms: (6 + 6x) + -1(5x + -1) = 0 Remove parenthesis around (6 + 6x) 6 + 6x + -1(5x + -1) = 0 Reorder the terms: 6 + 6x + -1(-1 + 5x) = 0 6 + 6x + (-1 * -1 + 5x * -1) = 0 6 + 6x + (1 + -5x) = 0 Reorder the terms: 6 + 1 + 6x + -5x = 0 Combine like terms: 6 + 1 = 7 7 + 6x + -5x = 0 Combine like terms: 6x + -5x = 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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