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Simplifying -31 = x + -6(x + -4) Reorder the terms: -31 = x + -6(-4 + x) -31 = x + (-4 * -6 + x * -6) -31 = x + (24 + -6x) Reorder the terms: -31 = 24 + x + -6x Combine like terms: x + -6x = -5x -31 = 24 + -5x Solving -31 = 24 + -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. -31 + 5x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 -31 + 5x = 24 + 0 -31 + 5x = 24 Add '31' to each side of the equation. -31 + 31 + 5x = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = 24 + 31 5x = 24 + 31 Combine like terms: 24 + 31 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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