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Simplifying 6(1 + 2x) = 12 + -1x (1 * 6 + 2x * 6) = 12 + -1x (6 + 12x) = 12 + -1x Solving 6 + 12x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 12x + x = 12 + -1x + x Combine like terms: 12x + x = 13x 6 + 13x = 12 + -1x + x Combine like terms: -1x + x = 0 6 + 13x = 12 + 0 6 + 13x = 12 Add '-6' to each side of the equation. 6 + -6 + 13x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 12 + -6 13x = 12 + -6 Combine like terms: 12 + -6 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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