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Simplifying 4x + 2a = 144 + -1(7b + x) + -2(x + y) Reorder the terms: 2a + 4x = 144 + -1(7b + x) + -2(x + y) 2a + 4x = 144 + (7b * -1 + x * -1) + -2(x + y) 2a + 4x = 144 + (-7b + -1x) + -2(x + y) 2a + 4x = 144 + -7b + -1x + (x * -2 + y * -2) 2a + 4x = 144 + -7b + -1x + (-2x + -2y) Combine like terms: -1x + -2x = -3x 2a + 4x = 144 + -7b + -3x + -2y Solving 2a + 4x = 144 + -7b + -3x + -2y 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 + -7b + -3x + -4x + -2y Combine like terms: 4x + -4x = 0 2a + 0 = 144 + -7b + -3x + -4x + -2y 2a = 144 + -7b + -3x + -4x + -2y Combine like terms: -3x + -4x = -7x 2a = 144 + -7b + -7x + -2y Divide each side by '2'. a = 72 + -3.5b + -3.5x + -1y Simplifying a = 72 + -3.5b + -3.5x + -1y
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