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