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Simplifying (6x + 6)(-7 + 1) = 0 Reorder the terms: (6 + 6x)(-7 + 1) = 0 Combine like terms: -7 + 1 = -6 (6 + 6x)(-6) = 0 Reorder the terms for easier multiplication: -6(6 + 6x) = 0 (6 * -6 + 6x * -6) = 0 (-36 + -36x) = 0 Solving -36 + -36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -36x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -36x = 0 + 36 -36x = 0 + 36 Combine like terms: 0 + 36 = 36 -36x = 36 Divide each side by '-36'. x = -1 Simplifying x = -1
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