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Simplifying X(x + -2b) + -9a + -15b = 0 Reorder the terms: X(-2b + x) + -9a + -15b = 0 (-2b * X + x * X) + -9a + -15b = 0 (-2bX + xX) + -9a + -15b = 0 Reorder the terms: -9a + -15b + -2bX + xX = 0 Solving -9a + -15b + -2bX + xX = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15b' to each side of the equation. -9a + -15b + -2bX + 15b + xX = 0 + 15b Reorder the terms: -9a + -15b + 15b + -2bX + xX = 0 + 15b Combine like terms: -15b + 15b = 0 -9a + 0 + -2bX + xX = 0 + 15b -9a + -2bX + xX = 0 + 15b Remove the zero: -9a + -2bX + xX = 15b Add '2bX' to each side of the equation. -9a + -2bX + 2bX + xX = 15b + 2bX Combine like terms: -2bX + 2bX = 0 -9a + 0 + xX = 15b + 2bX -9a + xX = 15b + 2bX Add '-1xX' to each side of the equation. -9a + xX + -1xX = 15b + 2bX + -1xX Combine like terms: xX + -1xX = 0 -9a + 0 = 15b + 2bX + -1xX -9a = 15b + 2bX + -1xX Divide each side by '-9'. a = -1.666666667b + -0.2222222222bX + 0.1111111111xX Simplifying a = -1.666666667b + -0.2222222222bX + 0.1111111111xX
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