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Simplifying 7(a + x) = b + -1a + 4x (a * 7 + x * 7) = b + -1a + 4x (7a + 7x) = b + -1a + 4x Reorder the terms: 7a + 7x = -1a + b + 4x Solving 7a + 7x = -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. 7a + a + 7x = -1a + b + a + 4x Combine like terms: 7a + a = 8a 8a + 7x = -1a + b + a + 4x Reorder the terms: 8a + 7x = -1a + a + b + 4x Combine like terms: -1a + a = 0 8a + 7x = 0 + b + 4x 8a + 7x = b + 4x Add '-7x' to each side of the equation. 8a + 7x + -7x = b + 4x + -7x Combine like terms: 7x + -7x = 0 8a + 0 = b + 4x + -7x 8a = b + 4x + -7x Combine like terms: 4x + -7x = -3x 8a = b + -3x Divide each side by '8'. a = 0.125b + -0.375x Simplifying a = 0.125b + -0.375x
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