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Simplifying 9x + -2(x + 7) + -1(9 + 5x) = -21 Reorder the terms: 9x + -2(7 + x) + -1(9 + 5x) = -21 9x + (7 * -2 + x * -2) + -1(9 + 5x) = -21 9x + (-14 + -2x) + -1(9 + 5x) = -21 9x + -14 + -2x + (9 * -1 + 5x * -1) = -21 9x + -14 + -2x + (-9 + -5x) = -21 Reorder the terms: -14 + -9 + 9x + -2x + -5x = -21 Combine like terms: -14 + -9 = -23 -23 + 9x + -2x + -5x = -21 Combine like terms: 9x + -2x = 7x -23 + 7x + -5x = -21 Combine like terms: 7x + -5x = 2x -23 + 2x = -21 Solving -23 + 2x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 2x = -21 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = -21 + 23 2x = -21 + 23 Combine like terms: -21 + 23 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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