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Simplifying -6(x + 4) = -31 + -5x Reorder the terms: -6(4 + x) = -31 + -5x (4 * -6 + x * -6) = -31 + -5x (-24 + -6x) = -31 + -5x Solving -24 + -6x = -31 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24 + -6x + 5x = -31 + -5x + 5x Combine like terms: -6x + 5x = -1x -24 + -1x = -31 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + -1x = -31 + 0 -24 + -1x = -31 Add '24' to each side of the equation. -24 + 24 + -1x = -31 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -31 + 24 -1x = -31 + 24 Combine like terms: -31 + 24 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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