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Simplifying -102 = -6(-6x + -13) Reorder the terms: -102 = -6(-13 + -6x) -102 = (-13 * -6 + -6x * -6) -102 = (78 + 36x) Solving -102 = 78 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -102 + -36x = 78 + 36x + -36x Combine like terms: 36x + -36x = 0 -102 + -36x = 78 + 0 -102 + -36x = 78 Add '102' to each side of the equation. -102 + 102 + -36x = 78 + 102 Combine like terms: -102 + 102 = 0 0 + -36x = 78 + 102 -36x = 78 + 102 Combine like terms: 78 + 102 = 180 -36x = 180 Divide each side by '-36'. x = -5 Simplifying x = -5
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