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Simplifying 4x + -2(5 + 7x) + -9 = 31 4x + (5 * -2 + 7x * -2) + -9 = 31 4x + (-10 + -14x) + -9 = 31 Reorder the terms: -10 + -9 + 4x + -14x = 31 Combine like terms: -10 + -9 = -19 -19 + 4x + -14x = 31 Combine like terms: 4x + -14x = -10x -19 + -10x = 31 Solving -19 + -10x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -10x = 31 + 19 Combine like terms: -19 + 19 = 0 0 + -10x = 31 + 19 -10x = 31 + 19 Combine like terms: 31 + 19 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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