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