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Simplifying 5(4 + 3x) + -9 = -31 (4 * 5 + 3x * 5) + -9 = -31 (20 + 15x) + -9 = -31 Reorder the terms: 20 + -9 + 15x = -31 Combine like terms: 20 + -9 = 11 11 + 15x = -31 Solving 11 + 15x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 15x = -31 + -11 Combine like terms: 11 + -11 = 0 0 + 15x = -31 + -11 15x = -31 + -11 Combine like terms: -31 + -11 = -42 15x = -42 Divide each side by '15'. x = -2.8 Simplifying x = -2.8
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