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Simplifying 7[x + a] = b Reorder the terms: 7[a + x] = b [a * 7 + x * 7] = b [7a + 7x] = b Solving 7a + 7x = b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7x' to each side of the equation. 7a + 7x + -7x = b + -7x Combine like terms: 7x + -7x = 0 7a + 0 = b + -7x 7a = b + -7x Divide each side by '7'. a = 0.1428571429b + -1x Simplifying a = 0.1428571429b + -1x
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