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Simplifying -8(6 + 6x) + 4(-3 + 6x) = -12 (6 * -8 + 6x * -8) + 4(-3 + 6x) = -12 (-48 + -48x) + 4(-3 + 6x) = -12 -48 + -48x + (-3 * 4 + 6x * 4) = -12 -48 + -48x + (-12 + 24x) = -12 Reorder the terms: -48 + -12 + -48x + 24x = -12 Combine like terms: -48 + -12 = -60 -60 + -48x + 24x = -12 Combine like terms: -48x + 24x = -24x -60 + -24x = -12 Solving -60 + -24x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -24x = -12 + 60 Combine like terms: -60 + 60 = 0 0 + -24x = -12 + 60 -24x = -12 + 60 Combine like terms: -12 + 60 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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