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Simplifying 2(a + -3b) + -3x = 4a + 4b (a * 2 + -3b * 2) + -3x = 4a + 4b (2a + -6b) + -3x = 4a + 4b Solving 2a + -6b + -3x = 4a + 4b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 2a + -6b + -4a + -3x = 4a + -4a + 4b Reorder the terms: 2a + -4a + -6b + -3x = 4a + -4a + 4b Combine like terms: 2a + -4a = -2a -2a + -6b + -3x = 4a + -4a + 4b Combine like terms: 4a + -4a = 0 -2a + -6b + -3x = 0 + 4b -2a + -6b + -3x = 4b Add '6b' to each side of the equation. -2a + -6b + 6b + -3x = 4b + 6b Combine like terms: -6b + 6b = 0 -2a + 0 + -3x = 4b + 6b -2a + -3x = 4b + 6b Combine like terms: 4b + 6b = 10b -2a + -3x = 10b Add '3x' to each side of the equation. -2a + -3x + 3x = 10b + 3x Combine like terms: -3x + 3x = 0 -2a + 0 = 10b + 3x -2a = 10b + 3x Divide each side by '-2'. a = -5b + -1.5x Simplifying a = -5b + -1.5x
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