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Simplifying 9(7 + -11x) + -7(11 + 14x) = 183 (7 * 9 + -11x * 9) + -7(11 + 14x) = 183 (63 + -99x) + -7(11 + 14x) = 183 63 + -99x + (11 * -7 + 14x * -7) = 183 63 + -99x + (-77 + -98x) = 183 Reorder the terms: 63 + -77 + -99x + -98x = 183 Combine like terms: 63 + -77 = -14 -14 + -99x + -98x = 183 Combine like terms: -99x + -98x = -197x -14 + -197x = 183 Solving -14 + -197x = 183 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 + -197x = 183 + 14 Combine like terms: -14 + 14 = 0 0 + -197x = 183 + 14 -197x = 183 + 14 Combine like terms: 183 + 14 = 197 -197x = 197 Divide each side by '-197'. x = -1 Simplifying x = -1
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