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Simplifying 12(2 + -3x) + 4x = 4(x + 3) (2 * 12 + -3x * 12) + 4x = 4(x + 3) (24 + -36x) + 4x = 4(x + 3) Combine like terms: -36x + 4x = -32x 24 + -32x = 4(x + 3) Reorder the terms: 24 + -32x = 4(3 + x) 24 + -32x = (3 * 4 + x * 4) 24 + -32x = (12 + 4x) Solving 24 + -32x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + -32x + -4x = 12 + 4x + -4x Combine like terms: -32x + -4x = -36x 24 + -36x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -36x = 12 + 0 24 + -36x = 12 Add '-24' to each side of the equation. 24 + -24 + -36x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -36x = 12 + -24 -36x = 12 + -24 Combine like terms: 12 + -24 = -12 -36x = -12 Divide each side by '-36'. x = 0.3333333333 Simplifying x = 0.3333333333
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