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Simplifying 3(a + -1x) + 3b = 4x + a (a * 3 + -1x * 3) + 3b = 4x + a (3a + -3x) + 3b = 4x + a Reorder the terms: 3a + 3b + -3x = 4x + a Reorder the terms: 3a + 3b + -3x = a + 4x Solving 3a + 3b + -3x = a + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 3a + 3b + -1a + -3x = a + -1a + 4x Reorder the terms: 3a + -1a + 3b + -3x = a + -1a + 4x Combine like terms: 3a + -1a = 2a 2a + 3b + -3x = a + -1a + 4x Combine like terms: a + -1a = 0 2a + 3b + -3x = 0 + 4x 2a + 3b + -3x = 4x Add '-3b' to each side of the equation. 2a + 3b + -3b + -3x = -3b + 4x Combine like terms: 3b + -3b = 0 2a + 0 + -3x = -3b + 4x 2a + -3x = -3b + 4x Add '3x' to each side of the equation. 2a + -3x + 3x = -3b + 4x + 3x Combine like terms: -3x + 3x = 0 2a + 0 = -3b + 4x + 3x 2a = -3b + 4x + 3x Combine like terms: 4x + 3x = 7x 2a = -3b + 7x Divide each side by '2'. a = -1.5b + 3.5x Simplifying a = -1.5b + 3.5x
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