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Simplifying 4x + 2a = 144 + -6(7b + x) + -1(x + y) Reorder the terms: 2a + 4x = 144 + -6(7b + x) + -1(x + y) 2a + 4x = 144 + (7b * -6 + x * -6) + -1(x + y) 2a + 4x = 144 + (-42b + -6x) + -1(x + y) 2a + 4x = 144 + -42b + -6x + (x * -1 + y * -1) 2a + 4x = 144 + -42b + -6x + (-1x + -1y) Combine like terms: -6x + -1x = -7x 2a + 4x = 144 + -42b + -7x + -1y Solving 2a + 4x = 144 + -42b + -7x + -1y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4x' to each side of the equation. 2a + 4x + -4x = 144 + -42b + -7x + -4x + -1y Combine like terms: 4x + -4x = 0 2a + 0 = 144 + -42b + -7x + -4x + -1y 2a = 144 + -42b + -7x + -4x + -1y Combine like terms: -7x + -4x = -11x 2a = 144 + -42b + -11x + -1y Divide each side by '2'. a = 72 + -21b + -5.5x + -0.5y Simplifying a = 72 + -21b + -5.5x + -0.5y
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