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Simplifying 2(6 + -1x) = 3(12x + -6) (6 * 2 + -1x * 2) = 3(12x + -6) (12 + -2x) = 3(12x + -6) Reorder the terms: 12 + -2x = 3(-6 + 12x) 12 + -2x = (-6 * 3 + 12x * 3) 12 + -2x = (-18 + 36x) Solving 12 + -2x = -18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 12 + -2x + -36x = -18 + 36x + -36x Combine like terms: -2x + -36x = -38x 12 + -38x = -18 + 36x + -36x Combine like terms: 36x + -36x = 0 12 + -38x = -18 + 0 12 + -38x = -18 Add '-12' to each side of the equation. 12 + -12 + -38x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -38x = -18 + -12 -38x = -18 + -12 Combine like terms: -18 + -12 = -30 -38x = -30 Divide each side by '-38'. x = 0.7894736842 Simplifying x = 0.7894736842
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