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Simplifying 2(1 + -6x) = 4(3x + 9) (1 * 2 + -6x * 2) = 4(3x + 9) (2 + -12x) = 4(3x + 9) Reorder the terms: 2 + -12x = 4(9 + 3x) 2 + -12x = (9 * 4 + 3x * 4) 2 + -12x = (36 + 12x) Solving 2 + -12x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + -12x + -12x = 36 + 12x + -12x Combine like terms: -12x + -12x = -24x 2 + -24x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -24x = 36 + 0 2 + -24x = 36 Add '-2' to each side of the equation. 2 + -2 + -24x = 36 + -2 Combine like terms: 2 + -2 = 0 0 + -24x = 36 + -2 -24x = 36 + -2 Combine like terms: 36 + -2 = 34 -24x = 34 Divide each side by '-24'. x = -1.416666667 Simplifying x = -1.416666667
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