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Simplifying 4(1 + x) = b + -1a + 2x (1 * 4 + x * 4) = b + -1a + 2x (4 + 4x) = b + -1a + 2x Reorder the terms: 4 + 4x = -1a + b + 2x Solving 4 + 4x = -1a + b + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 4x + -2x = -1a + b + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = -1a + b + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = -1a + b + 0 4 + 2x = -1a + b Add '-4' to each side of the equation. 4 + -4 + 2x = -1a + -4 + b Combine like terms: 4 + -4 = 0 0 + 2x = -1a + -4 + b 2x = -1a + -4 + b Reorder the terms: 2x = -4 + -1a + b Divide each side by '2'. x = -2 + -0.5a + 0.5b Simplifying x = -2 + -0.5a + 0.5b
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