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Simplifying -3(x + 2) + -1(2x + 4) = 12 Reorder the terms: -3(2 + x) + -1(2x + 4) = 12 (2 * -3 + x * -3) + -1(2x + 4) = 12 (-6 + -3x) + -1(2x + 4) = 12 Reorder the terms: -6 + -3x + -1(4 + 2x) = 12 -6 + -3x + (4 * -1 + 2x * -1) = 12 -6 + -3x + (-4 + -2x) = 12 Reorder the terms: -6 + -4 + -3x + -2x = 12 Combine like terms: -6 + -4 = -10 -10 + -3x + -2x = 12 Combine like terms: -3x + -2x = -5x -10 + -5x = 12 Solving -10 + -5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -5x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 12 + 10 -5x = 12 + 10 Combine like terms: 12 + 10 = 22 -5x = 22 Divide each side by '-5'. x = -4.4 Simplifying x = -4.4
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