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Simplifying 14x + -1(9x + -6) = 31 Reorder the terms: 14x + -1(-6 + 9x) = 31 14x + (-6 * -1 + 9x * -1) = 31 14x + (6 + -9x) = 31 Reorder the terms: 6 + 14x + -9x = 31 Combine like terms: 14x + -9x = 5x 6 + 5x = 31 Solving 6 + 5x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 31 + -6 5x = 31 + -6 Combine like terms: 31 + -6 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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