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Simplifying -4(3x + 2) = 3(-3x + -1) Reorder the terms: -4(2 + 3x) = 3(-3x + -1) (2 * -4 + 3x * -4) = 3(-3x + -1) (-8 + -12x) = 3(-3x + -1) Reorder the terms: -8 + -12x = 3(-1 + -3x) -8 + -12x = (-1 * 3 + -3x * 3) -8 + -12x = (-3 + -9x) Solving -8 + -12x = -3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -8 + -12x + 9x = -3 + -9x + 9x Combine like terms: -12x + 9x = -3x -8 + -3x = -3 + -9x + 9x Combine like terms: -9x + 9x = 0 -8 + -3x = -3 + 0 -8 + -3x = -3 Add '8' to each side of the equation. -8 + 8 + -3x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -3 + 8 -3x = -3 + 8 Combine like terms: -3 + 8 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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