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Simplifying 102 = -6(1 + -3x) 102 = (1 * -6 + -3x * -6) 102 = (-6 + 18x) Solving 102 = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 102 + -18x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 102 + -18x = -6 + 0 102 + -18x = -6 Add '-102' to each side of the equation. 102 + -102 + -18x = -6 + -102 Combine like terms: 102 + -102 = 0 0 + -18x = -6 + -102 -18x = -6 + -102 Combine like terms: -6 + -102 = -108 -18x = -108 Divide each side by '-18'. x = 6 Simplifying x = 6
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