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