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Simplifying -1x + -47 = 31 + -7x Reorder the terms: -47 + -1x = 31 + -7x Solving -47 + -1x = 31 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -47 + -1x + 7x = 31 + -7x + 7x Combine like terms: -1x + 7x = 6x -47 + 6x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 -47 + 6x = 31 + 0 -47 + 6x = 31 Add '47' to each side of the equation. -47 + 47 + 6x = 31 + 47 Combine like terms: -47 + 47 = 0 0 + 6x = 31 + 47 6x = 31 + 47 Combine like terms: 31 + 47 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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