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