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Simplifying 4(x + -1a) + b = 5x + a Reorder the terms: 4(-1a + x) + b = 5x + a (-1a * 4 + x * 4) + b = 5x + a (-4a + 4x) + b = 5x + a Reorder the terms: -4a + b + 4x = 5x + a Reorder the terms: -4a + b + 4x = a + 5x Solving -4a + b + 4x = a + 5x 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. -4a + b + -1a + 4x = a + -1a + 5x Reorder the terms: -4a + -1a + b + 4x = a + -1a + 5x Combine like terms: -4a + -1a = -5a -5a + b + 4x = a + -1a + 5x Combine like terms: a + -1a = 0 -5a + b + 4x = 0 + 5x -5a + b + 4x = 5x Add '-1b' to each side of the equation. -5a + b + -1b + 4x = -1b + 5x Combine like terms: b + -1b = 0 -5a + 0 + 4x = -1b + 5x -5a + 4x = -1b + 5x Add '-4x' to each side of the equation. -5a + 4x + -4x = -1b + 5x + -4x Combine like terms: 4x + -4x = 0 -5a + 0 = -1b + 5x + -4x -5a = -1b + 5x + -4x Combine like terms: 5x + -4x = 1x -5a = -1b + 1x Divide each side by '-5'. a = 0.2b + -0.2x Simplifying a = 0.2b + -0.2x
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