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Simplifying 9(7 + -11x) + -7(11x + 14) = 183 (7 * 9 + -11x * 9) + -7(11x + 14) = 183 (63 + -99x) + -7(11x + 14) = 183 Reorder the terms: 63 + -99x + -7(14 + 11x) = 183 63 + -99x + (14 * -7 + 11x * -7) = 183 63 + -99x + (-98 + -77x) = 183 Reorder the terms: 63 + -98 + -99x + -77x = 183 Combine like terms: 63 + -98 = -35 -35 + -99x + -77x = 183 Combine like terms: -99x + -77x = -176x -35 + -176x = 183 Solving -35 + -176x = 183 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -176x = 183 + 35 Combine like terms: -35 + 35 = 0 0 + -176x = 183 + 35 -176x = 183 + 35 Combine like terms: 183 + 35 = 218 -176x = 218 Divide each side by '-176'. x = -1.238636364 Simplifying x = -1.238636364
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