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Simplifying 31 + -6x = 6 + -7(1 + 2x) 31 + -6x = 6 + (1 * -7 + 2x * -7) 31 + -6x = 6 + (-7 + -14x) Combine like terms: 6 + -7 = -1 31 + -6x = -1 + -14x Solving 31 + -6x = -1 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 31 + -6x + 14x = -1 + -14x + 14x Combine like terms: -6x + 14x = 8x 31 + 8x = -1 + -14x + 14x Combine like terms: -14x + 14x = 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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