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Simplifying -3(4x + 2) = -8(6x + 3) Reorder the terms: -3(2 + 4x) = -8(6x + 3) (2 * -3 + 4x * -3) = -8(6x + 3) (-6 + -12x) = -8(6x + 3) Reorder the terms: -6 + -12x = -8(3 + 6x) -6 + -12x = (3 * -8 + 6x * -8) -6 + -12x = (-24 + -48x) Solving -6 + -12x = -24 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -6 + -12x + 48x = -24 + -48x + 48x Combine like terms: -12x + 48x = 36x -6 + 36x = -24 + -48x + 48x Combine like terms: -48x + 48x = 0 -6 + 36x = -24 + 0 -6 + 36x = -24 Add '6' to each side of the equation. -6 + 6 + 36x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 36x = -24 + 6 36x = -24 + 6 Combine like terms: -24 + 6 = -18 36x = -18 Divide each side by '36'. x = -0.5 Simplifying x = -0.5
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