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Simplifying -4(x + 6) + -2(x + -9) = -12 Reorder the terms: -4(6 + x) + -2(x + -9) = -12 (6 * -4 + x * -4) + -2(x + -9) = -12 (-24 + -4x) + -2(x + -9) = -12 Reorder the terms: -24 + -4x + -2(-9 + x) = -12 -24 + -4x + (-9 * -2 + x * -2) = -12 -24 + -4x + (18 + -2x) = -12 Reorder the terms: -24 + 18 + -4x + -2x = -12 Combine like terms: -24 + 18 = -6 -6 + -4x + -2x = -12 Combine like terms: -4x + -2x = -6x -6 + -6x = -12 Solving -6 + -6x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -6x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -12 + 6 -6x = -12 + 6 Combine like terms: -12 + 6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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