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Simplifying -4(x + 2) + -1(x + -4) = 6 Reorder the terms: -4(2 + x) + -1(x + -4) = 6 (2 * -4 + x * -4) + -1(x + -4) = 6 (-8 + -4x) + -1(x + -4) = 6 Reorder the terms: -8 + -4x + -1(-4 + x) = 6 -8 + -4x + (-4 * -1 + x * -1) = 6 -8 + -4x + (4 + -1x) = 6 Reorder the terms: -8 + 4 + -4x + -1x = 6 Combine like terms: -8 + 4 = -4 -4 + -4x + -1x = 6 Combine like terms: -4x + -1x = -5x -4 + -5x = 6 Solving -4 + -5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 6 + 4 -5x = 6 + 4 Combine like terms: 6 + 4 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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