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Simplifying 3(2 + -4(x + -6)) = 12 + -6x Reorder the terms: 3(2 + -4(-6 + x)) = 12 + -6x 3(2 + (-6 * -4 + x * -4)) = 12 + -6x 3(2 + (24 + -4x)) = 12 + -6x Combine like terms: 2 + 24 = 26 3(26 + -4x) = 12 + -6x (26 * 3 + -4x * 3) = 12 + -6x (78 + -12x) = 12 + -6x Solving 78 + -12x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 78 + -12x + 6x = 12 + -6x + 6x Combine like terms: -12x + 6x = -6x 78 + -6x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 78 + -6x = 12 + 0 78 + -6x = 12 Add '-78' to each side of the equation. 78 + -78 + -6x = 12 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = 12 + -78 -6x = 12 + -78 Combine like terms: 12 + -78 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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