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Simplifying 5x + 7(-2x + -2) = 31 Reorder the terms: 5x + 7(-2 + -2x) = 31 5x + (-2 * 7 + -2x * 7) = 31 5x + (-14 + -14x) = 31 Reorder the terms: -14 + 5x + -14x = 31 Combine like terms: 5x + -14x = -9x -14 + -9x = 31 Solving -14 + -9x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -9x = 31 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = 31 + 14 -9x = 31 + 14 Combine like terms: 31 + 14 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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