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Simplifying (x * x) + -1(19 + -1x)(19 + -1x) = 38 Multiply x * x (x2) + -1(19 + -1x)(19 + -1x) = 38 x2 + -1(19 + -1x)(19 + -1x) = 38 Multiply (19 + -1x) * (19 + -1x) x2 + -1(19(19 + -1x) + -1x * (19 + -1x)) = 38 x2 + -1((19 * 19 + -1x * 19) + -1x * (19 + -1x)) = 38 x2 + -1((361 + -19x) + -1x * (19 + -1x)) = 38 x2 + -1(361 + -19x + (19 * -1x + -1x * -1x)) = 38 x2 + -1(361 + -19x + (-19x + 1x2)) = 38 Combine like terms: -19x + -19x = -38x x2 + -1(361 + -38x + 1x2) = 38 x2 + (361 * -1 + -38x * -1 + 1x2 * -1) = 38 x2 + (-361 + 38x + -1x2) = 38 Reorder the terms: -361 + 38x + x2 + -1x2 = 38 Combine like terms: x2 + -1x2 = 0 -361 + 38x + 0 = 38 -361 + 38x = 38 Solving -361 + 38x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '361' to each side of the equation. -361 + 361 + 38x = 38 + 361 Combine like terms: -361 + 361 = 0 0 + 38x = 38 + 361 38x = 38 + 361 Combine like terms: 38 + 361 = 399 38x = 399 Divide each side by '38'. x = 10.5 Simplifying x = 10.5
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