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Simplifying 6x + 9 = -31 + -2x Reorder the terms: 9 + 6x = -31 + -2x Solving 9 + 6x = -31 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 6x + 2x = -31 + -2x + 2x Combine like terms: 6x + 2x = 8x 9 + 8x = -31 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 8x = -31 + 0 9 + 8x = -31 Add '-9' to each side of the equation. 9 + -9 + 8x = -31 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = -31 + -9 8x = -31 + -9 Combine like terms: -31 + -9 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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