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Simplifying 6(3 + -2x) = 14 + -12(1 + -2x) (3 * 6 + -2x * 6) = 14 + -12(1 + -2x) (18 + -12x) = 14 + -12(1 + -2x) 18 + -12x = 14 + (1 * -12 + -2x * -12) 18 + -12x = 14 + (-12 + 24x) Combine like terms: 14 + -12 = 2 18 + -12x = 2 + 24x Solving 18 + -12x = 2 + 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. 18 + -12x + -24x = 2 + 24x + -24x Combine like terms: -12x + -24x = -36x 18 + -36x = 2 + 24x + -24x Combine like terms: 24x + -24x = 0 18 + -36x = 2 + 0 18 + -36x = 2 Add '-18' to each side of the equation. 18 + -18 + -36x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -36x = 2 + -18 -36x = 2 + -18 Combine like terms: 2 + -18 = -16 -36x = -16 Divide each side by '-36'. x = 0.4444444444 Simplifying x = 0.4444444444
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