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Simplifying -2(2x + 3) + 4x = -4(3x + 1) Reorder the terms: -2(3 + 2x) + 4x = -4(3x + 1) (3 * -2 + 2x * -2) + 4x = -4(3x + 1) (-6 + -4x) + 4x = -4(3x + 1) Combine like terms: -4x + 4x = 0 -6 + 0 = -4(3x + 1) -6 = -4(3x + 1) Reorder the terms: -6 = -4(1 + 3x) -6 = (1 * -4 + 3x * -4) -6 = (-4 + -12x) Solving -6 = -4 + -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. -6 + 12x = -4 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + 12x = -4 + 0 -6 + 12x = -4 Add '6' to each side of the equation. -6 + 6 + 12x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = -4 + 6 12x = -4 + 6 Combine like terms: -4 + 6 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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