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Simplifying 31 = 7x + 2(-6x + -2) Reorder the terms: 31 = 7x + 2(-2 + -6x) 31 = 7x + (-2 * 2 + -6x * 2) 31 = 7x + (-4 + -12x) Reorder the terms: 31 = -4 + 7x + -12x Combine like terms: 7x + -12x = -5x 31 = -4 + -5x Solving 31 = -4 + -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. 31 + 5x = -4 + -5x + 5x Combine like terms: -5x + 5x = 0 31 + 5x = -4 + 0 31 + 5x = -4 Add '-31' to each side of the equation. 31 + -31 + 5x = -4 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = -4 + -31 5x = -4 + -31 Combine like terms: -4 + -31 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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