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Simplifying -102 = -6(6x + 5) Reorder the terms: -102 = -6(5 + 6x) -102 = (5 * -6 + 6x * -6) -102 = (-30 + -36x) Solving -102 = -30 + -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 = -30 + -36x + 36x Combine like terms: -36x + 36x = 0 -102 + 36x = -30 + 0 -102 + 36x = -30 Add '102' to each side of the equation. -102 + 102 + 36x = -30 + 102 Combine like terms: -102 + 102 = 0 0 + 36x = -30 + 102 36x = -30 + 102 Combine like terms: -30 + 102 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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