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Simplifying 7x + 5 = -9x + -31 + -2x Reorder the terms: 5 + 7x = -9x + -31 + -2x Reorder the terms: 5 + 7x = -31 + -9x + -2x Combine like terms: -9x + -2x = -11x 5 + 7x = -31 + -11x Solving 5 + 7x = -31 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 5 + 7x + 11x = -31 + -11x + 11x Combine like terms: 7x + 11x = 18x 5 + 18x = -31 + -11x + 11x Combine like terms: -11x + 11x = 0 5 + 18x = -31 + 0 5 + 18x = -31 Add '-5' to each side of the equation. 5 + -5 + 18x = -31 + -5 Combine like terms: 5 + -5 = 0 0 + 18x = -31 + -5 18x = -31 + -5 Combine like terms: -31 + -5 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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