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Simplifying -1x + 5 = -7x + -31 Reorder the terms: 5 + -1x = -7x + -31 Reorder the terms: 5 + -1x = -31 + -7x Solving 5 + -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. 5 + -1x + 7x = -31 + -7x + 7x Combine like terms: -1x + 7x = 6x 5 + 6x = -31 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 6x = -31 + 0 5 + 6x = -31 Add '-5' to each side of the equation. 5 + -5 + 6x = -31 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = -31 + -5 6x = -31 + -5 Combine like terms: -31 + -5 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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