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Simplifying 2(a + -3x) = 4(3a + 2) + 9x (a * 2 + -3x * 2) = 4(3a + 2) + 9x (2a + -6x) = 4(3a + 2) + 9x Reorder the terms: 2a + -6x = 4(2 + 3a) + 9x 2a + -6x = (2 * 4 + 3a * 4) + 9x 2a + -6x = (8 + 12a) + 9x Solving 2a + -6x = 8 + 12a + 9x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 2a + -12a + -6x = 8 + 12a + -12a + 9x Combine like terms: 2a + -12a = -10a -10a + -6x = 8 + 12a + -12a + 9x Combine like terms: 12a + -12a = 0 -10a + -6x = 8 + 0 + 9x -10a + -6x = 8 + 9x Add '6x' to each side of the equation. -10a + -6x + 6x = 8 + 9x + 6x Combine like terms: -6x + 6x = 0 -10a + 0 = 8 + 9x + 6x -10a = 8 + 9x + 6x Combine like terms: 9x + 6x = 15x -10a = 8 + 15x Divide each side by '-10'. a = -0.8 + -1.5x Simplifying a = -0.8 + -1.5x
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