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Simplifying -1x + -7 = 5x + -31 Reorder the terms: -7 + -1x = 5x + -31 Reorder the terms: -7 + -1x = -31 + 5x Solving -7 + -1x = -31 + 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. -7 + -1x + -5x = -31 + 5x + -5x Combine like terms: -1x + -5x = -6x -7 + -6x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -6x = -31 + 0 -7 + -6x = -31 Add '7' to each side of the equation. -7 + 7 + -6x = -31 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = -31 + 7 -6x = -31 + 7 Combine like terms: -31 + 7 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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