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Simplifying ((7)(a + x)) = (b) + -1(a) + (2x) ((a * 7 + x * 7)) = (b) + -1(a) + (2x) ((7a + 7x)) = (b) + -1(a) + (2x) (7a + 7x) = (b) + -1(a) + (2x) Remove parenthesis around (7a + 7x) 7a + 7x = (b) + -1(a) + (2x) 7a + 7x = b + -1(a) + (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 = -5x 8a = b + -5x Divide each side by '8'. a = 0.125b + -0.625x Simplifying a = 0.125b + -0.625x
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