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Simplifying 4(a + b) = b + -1a + 2x (a * 4 + b * 4) = b + -1a + 2x (4a + 4b) = b + -1a + 2x Reorder the terms: 4a + 4b = -1a + b + 2x Solving 4a + 4b = -1a + b + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 4a + a + 4b = -1a + b + a + 2x Combine like terms: 4a + a = 5a 5a + 4b = -1a + b + a + 2x Reorder the terms: 5a + 4b = -1a + a + b + 2x Combine like terms: -1a + a = 0 5a + 4b = 0 + b + 2x 5a + 4b = b + 2x Add '-4b' to each side of the equation. 5a + 4b + -4b = b + -4b + 2x Combine like terms: 4b + -4b = 0 5a + 0 = b + -4b + 2x 5a = b + -4b + 2x Combine like terms: b + -4b = -3b 5a = -3b + 2x Divide each side by '5'. a = -0.6b + 0.4x Simplifying a = -0.6b + 0.4x
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