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Simplifying 12(x + -3) = 3(12x + 2) Reorder the terms: 12(-3 + x) = 3(12x + 2) (-3 * 12 + x * 12) = 3(12x + 2) (-36 + 12x) = 3(12x + 2) Reorder the terms: -36 + 12x = 3(2 + 12x) -36 + 12x = (2 * 3 + 12x * 3) -36 + 12x = (6 + 36x) Solving -36 + 12x = 6 + 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. -36 + 12x + -36x = 6 + 36x + -36x Combine like terms: 12x + -36x = -24x -36 + -24x = 6 + 36x + -36x Combine like terms: 36x + -36x = 0 -36 + -24x = 6 + 0 -36 + -24x = 6 Add '36' to each side of the equation. -36 + 36 + -24x = 6 + 36 Combine like terms: -36 + 36 = 0 0 + -24x = 6 + 36 -24x = 6 + 36 Combine like terms: 6 + 36 = 42 -24x = 42 Divide each side by '-24'. x = -1.75 Simplifying x = -1.75
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