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Simplifying 4(3x + -1) = 3(2 + -1x) Reorder the terms: 4(-1 + 3x) = 3(2 + -1x) (-1 * 4 + 3x * 4) = 3(2 + -1x) (-4 + 12x) = 3(2 + -1x) -4 + 12x = (2 * 3 + -1x * 3) -4 + 12x = (6 + -3x) Solving -4 + 12x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 12x + 3x = 6 + -3x + 3x Combine like terms: 12x + 3x = 15x -4 + 15x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 15x = 6 + 0 -4 + 15x = 6 Add '4' to each side of the equation. -4 + 4 + 15x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 15x = 6 + 4 15x = 6 + 4 Combine like terms: 6 + 4 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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