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Simplifying 6(x + -6) + 12(x + 13) = 0 Reorder the terms: 6(-6 + x) + 12(x + 13) = 0 (-6 * 6 + x * 6) + 12(x + 13) = 0 (-36 + 6x) + 12(x + 13) = 0 Reorder the terms: -36 + 6x + 12(13 + x) = 0 -36 + 6x + (13 * 12 + x * 12) = 0 -36 + 6x + (156 + 12x) = 0 Reorder the terms: -36 + 156 + 6x + 12x = 0 Combine like terms: -36 + 156 = 120 120 + 6x + 12x = 0 Combine like terms: 6x + 12x = 18x 120 + 18x = 0 Solving 120 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 18x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 18x = 0 + -120 18x = 0 + -120 Combine like terms: 0 + -120 = -120 18x = -120 Divide each side by '18'. x = -6.666666667 Simplifying x = -6.666666667
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