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Simplifying (6x + -6) + -1(7x + 7) = 0 Reorder the terms: (-6 + 6x) + -1(7x + 7) = 0 Remove parenthesis around (-6 + 6x) -6 + 6x + -1(7x + 7) = 0 Reorder the terms: -6 + 6x + -1(7 + 7x) = 0 -6 + 6x + (7 * -1 + 7x * -1) = 0 -6 + 6x + (-7 + -7x) = 0 Reorder the terms: -6 + -7 + 6x + -7x = 0 Combine like terms: -6 + -7 = -13 -13 + 6x + -7x = 0 Combine like terms: 6x + -7x = -1x -13 + -1x = 0 Solving -13 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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