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Simplifying 5bx + -3(2a + 3x) = 6a 5bx + (2a * -3 + 3x * -3) = 6a 5bx + (-6a + -9x) = 6a Reorder the terms: -6a + 5bx + -9x = 6a Solving -6a + 5bx + -9x = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -6a + 5bx + -6a + -9x = 6a + -6a Reorder the terms: -6a + -6a + 5bx + -9x = 6a + -6a Combine like terms: -6a + -6a = -12a -12a + 5bx + -9x = 6a + -6a Combine like terms: 6a + -6a = 0 -12a + 5bx + -9x = 0 Add '-5bx' to each side of the equation. -12a + 5bx + -5bx + -9x = 0 + -5bx Combine like terms: 5bx + -5bx = 0 -12a + 0 + -9x = 0 + -5bx -12a + -9x = 0 + -5bx Remove the zero: -12a + -9x = -5bx Add '9x' to each side of the equation. -12a + -9x + 9x = -5bx + 9x Combine like terms: -9x + 9x = 0 -12a + 0 = -5bx + 9x -12a = -5bx + 9x Divide each side by '-12'. a = 0.4166666667bx + -0.75x Simplifying a = 0.4166666667bx + -0.75x
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