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Simplifying 6(6x + 6) + -6(6 + -6) = 0 Reorder the terms: 6(6 + 6x) + -6(6 + -6) = 0 (6 * 6 + 6x * 6) + -6(6 + -6) = 0 (36 + 36x) + -6(6 + -6) = 0 Combine like terms: 6 + -6 = 0 36 + 36x + -6(0) = 0 Multiply -6 * 0 36 + 36x + 0 = 0 Anything times zero is zero. 36 + 36x + 0 = 0 Reorder the terms: 36 + 0 + 36x = 0 Combine like terms: 36 + 0 = 36 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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