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Simplifying 2(12 + -3x) = 3(4x + -1) (12 * 2 + -3x * 2) = 3(4x + -1) (24 + -6x) = 3(4x + -1) Reorder the terms: 24 + -6x = 3(-1 + 4x) 24 + -6x = (-1 * 3 + 4x * 3) 24 + -6x = (-3 + 12x) Solving 24 + -6x = -3 + 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. 24 + -6x + -12x = -3 + 12x + -12x Combine like terms: -6x + -12x = -18x 24 + -18x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -18x = -3 + 0 24 + -18x = -3 Add '-24' to each side of the equation. 24 + -24 + -18x = -3 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = -3 + -24 -18x = -3 + -24 Combine like terms: -3 + -24 = -27 -18x = -27 Divide each side by '-18'. x = 1.5 Simplifying x = 1.5
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