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Simplifying 8(a + x) = b + -1a + 4x (a * 8 + x * 8) = b + -1a + 4x (8a + 8x) = b + -1a + 4x Reorder the terms: 8a + 8x = -1a + b + 4x Solving 8a + 8x = -1a + b + 4x 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. 8a + a + 8x = -1a + b + a + 4x Combine like terms: 8a + a = 9a 9a + 8x = -1a + b + a + 4x Reorder the terms: 9a + 8x = -1a + a + b + 4x Combine like terms: -1a + a = 0 9a + 8x = 0 + b + 4x 9a + 8x = b + 4x Add '-8x' to each side of the equation. 9a + 8x + -8x = b + 4x + -8x Combine like terms: 8x + -8x = 0 9a + 0 = b + 4x + -8x 9a = b + 4x + -8x Combine like terms: 4x + -8x = -4x 9a = b + -4x Divide each side by '9'. a = 0.1111111111b + -0.4444444444x Simplifying a = 0.1111111111b + -0.4444444444x
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