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Simplifying -6(4 + 2x) + 4(3 + -6x) = -36 (4 * -6 + 2x * -6) + 4(3 + -6x) = -36 (-24 + -12x) + 4(3 + -6x) = -36 -24 + -12x + (3 * 4 + -6x * 4) = -36 -24 + -12x + (12 + -24x) = -36 Reorder the terms: -24 + 12 + -12x + -24x = -36 Combine like terms: -24 + 12 = -12 -12 + -12x + -24x = -36 Combine like terms: -12x + -24x = -36x -12 + -36x = -36 Solving -12 + -36x = -36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -36x = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -36x = -36 + 12 -36x = -36 + 12 Combine like terms: -36 + 12 = -24 -36x = -24 Divide each side by '-36'. x = 0.6666666667 Simplifying x = 0.6666666667
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