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Simplifying 1 + 7x = 3x + -31 Reorder the terms: 1 + 7x = -31 + 3x Solving 1 + 7x = -31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 7x + -3x = -31 + 3x + -3x Combine like terms: 7x + -3x = 4x 1 + 4x = -31 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 4x = -31 + 0 1 + 4x = -31 Add '-1' to each side of the equation. 1 + -1 + 4x = -31 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -31 + -1 4x = -31 + -1 Combine like terms: -31 + -1 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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