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Simplifying 1 + -1x = 7x + -31 Reorder the terms: 1 + -1x = -31 + 7x Solving 1 + -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. 1 + -1x + -7x = -31 + 7x + -7x Combine like terms: -1x + -7x = -8x 1 + -8x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -8x = -31 + 0 1 + -8x = -31 Add '-1' to each side of the equation. 1 + -1 + -8x = -31 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -31 + -1 -8x = -31 + -1 Combine like terms: -31 + -1 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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