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Simplifying 4(3x + -1) = -3(2x + 4) Reorder the terms: 4(-1 + 3x) = -3(2x + 4) (-1 * 4 + 3x * 4) = -3(2x + 4) (-4 + 12x) = -3(2x + 4) Reorder the terms: -4 + 12x = -3(4 + 2x) -4 + 12x = (4 * -3 + 2x * -3) -4 + 12x = (-12 + -6x) Solving -4 + 12x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 12x + 6x = -12 + -6x + 6x Combine like terms: 12x + 6x = 18x -4 + 18x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 18x = -12 + 0 -4 + 18x = -12 Add '4' to each side of the equation. -4 + 4 + 18x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = -12 + 4 18x = -12 + 4 Combine like terms: -12 + 4 = -8 18x = -8 Divide each side by '18'. x = -0.4444444444 Simplifying x = -0.4444444444
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