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Simplifying 7(a + -1x) = b + -1a + 2x (a * 7 + -1x * 7) = b + -1a + 2x (7a + -7x) = b + -1a + 2x Reorder the terms: 7a + -7x = -1a + b + 2x Solving 7a + -7x = -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. 7a + a + -7x = -1a + b + a + 2x Combine like terms: 7a + a = 8a 8a + -7x = -1a + b + a + 2x Reorder the terms: 8a + -7x = -1a + a + b + 2x Combine like terms: -1a + a = 0 8a + -7x = 0 + b + 2x 8a + -7x = b + 2x Add '7x' to each side of the equation. 8a + -7x + 7x = b + 2x + 7x Combine like terms: -7x + 7x = 0 8a + 0 = b + 2x + 7x 8a = b + 2x + 7x Combine like terms: 2x + 7x = 9x 8a = b + 9x Divide each side by '8'. a = 0.125b + 1.125x Simplifying a = 0.125b + 1.125x
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