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Simplifying 31 + -7x = -4(x + -4) + -8x Reorder the terms: 31 + -7x = -4(-4 + x) + -8x 31 + -7x = (-4 * -4 + x * -4) + -8x 31 + -7x = (16 + -4x) + -8x Combine like terms: -4x + -8x = -12x 31 + -7x = 16 + -12x Solving 31 + -7x = 16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 31 + -7x + 12x = 16 + -12x + 12x Combine like terms: -7x + 12x = 5x 31 + 5x = 16 + -12x + 12x Combine like terms: -12x + 12x = 0 31 + 5x = 16 + 0 31 + 5x = 16 Add '-31' to each side of the equation. 31 + -31 + 5x = 16 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 16 + -31 5x = 16 + -31 Combine like terms: 16 + -31 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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