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Simplifying -31 = x + -7x + -7 Reorder the terms: -31 = -7 + x + -7x Combine like terms: x + -7x = -6x -31 = -7 + -6x Solving -31 = -7 + -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 + 6x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -31 + 6x = -7 + 0 -31 + 6x = -7 Add '31' to each side of the equation. -31 + 31 + 6x = -7 + 31 Combine like terms: -31 + 31 = 0 0 + 6x = -7 + 31 6x = -7 + 31 Combine like terms: -7 + 31 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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