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Simplifying -2(3x + 4) + -1(3x + -6) = -24 Reorder the terms: -2(4 + 3x) + -1(3x + -6) = -24 (4 * -2 + 3x * -2) + -1(3x + -6) = -24 (-8 + -6x) + -1(3x + -6) = -24 Reorder the terms: -8 + -6x + -1(-6 + 3x) = -24 -8 + -6x + (-6 * -1 + 3x * -1) = -24 -8 + -6x + (6 + -3x) = -24 Reorder the terms: -8 + 6 + -6x + -3x = -24 Combine like terms: -8 + 6 = -2 -2 + -6x + -3x = -24 Combine like terms: -6x + -3x = -9x -2 + -9x = -24 Solving -2 + -9x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -9x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -24 + 2 -9x = -24 + 2 Combine like terms: -24 + 2 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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