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Simplifying 3(1 + 9x) = 6(2 + -4x) (1 * 3 + 9x * 3) = 6(2 + -4x) (3 + 27x) = 6(2 + -4x) 3 + 27x = (2 * 6 + -4x * 6) 3 + 27x = (12 + -24x) Solving 3 + 27x = 12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 3 + 27x + 24x = 12 + -24x + 24x Combine like terms: 27x + 24x = 51x 3 + 51x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 3 + 51x = 12 + 0 3 + 51x = 12 Add '-3' to each side of the equation. 3 + -3 + 51x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 51x = 12 + -3 51x = 12 + -3 Combine like terms: 12 + -3 = 9 51x = 9 Divide each side by '51'. x = 0.1764705882 Simplifying x = 0.1764705882
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