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Simplifying 102 = -6(1 + -6x) 102 = (1 * -6 + -6x * -6) 102 = (-6 + 36x) Solving 102 = -6 + 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 = -6 + 36x + -36x Combine like terms: 36x + -36x = 0 102 + -36x = -6 + 0 102 + -36x = -6 Add '-102' to each side of the equation. 102 + -102 + -36x = -6 + -102 Combine like terms: 102 + -102 = 0 0 + -36x = -6 + -102 -36x = -6 + -102 Combine like terms: -6 + -102 = -108 -36x = -108 Divide each side by '-36'. x = 3 Simplifying x = 3
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