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Simplifying 4(3x + -1) = 3(1 + -4x) Reorder the terms: 4(-1 + 3x) = 3(1 + -4x) (-1 * 4 + 3x * 4) = 3(1 + -4x) (-4 + 12x) = 3(1 + -4x) -4 + 12x = (1 * 3 + -4x * 3) -4 + 12x = (3 + -12x) Solving -4 + 12x = 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. -4 + 12x + 12x = 3 + -12x + 12x Combine like terms: 12x + 12x = 24x -4 + 24x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 24x = 3 + 0 -4 + 24x = 3 Add '4' to each side of the equation. -4 + 4 + 24x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 24x = 3 + 4 24x = 3 + 4 Combine like terms: 3 + 4 = 7 24x = 7 Divide each side by '24'. x = 0.2916666667 Simplifying x = 0.2916666667
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