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Simplifying a(x + b) + x(b + -1a) = 2b(2a + -1x) Reorder the terms: a(b + x) + x(b + -1a) = 2b(2a + -1x) (b * a + x * a) + x(b + -1a) = 2b(2a + -1x) (ab + ax) + x(b + -1a) = 2b(2a + -1x) Reorder the terms: ab + ax + x(-1a + b) = 2b(2a + -1x) ab + ax + (-1a * x + b * x) = 2b(2a + -1x) ab + ax + (-1ax + bx) = 2b(2a + -1x) Combine like terms: ax + -1ax = 0 ab + 0 + bx = 2b(2a + -1x) ab + bx = 2b(2a + -1x) ab + bx = (2a * 2b + -1x * 2b) ab + bx = (4ab + -2bx) Solving ab + bx = 4ab + -2bx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4ab' to each side of the equation. ab + -4ab + bx = 4ab + -4ab + -2bx Combine like terms: ab + -4ab = -3ab -3ab + bx = 4ab + -4ab + -2bx Combine like terms: 4ab + -4ab = 0 -3ab + bx = 0 + -2bx -3ab + bx = -2bx Add '-1bx' to each side of the equation. -3ab + bx + -1bx = -2bx + -1bx Combine like terms: bx + -1bx = 0 -3ab + 0 = -2bx + -1bx -3ab = -2bx + -1bx Combine like terms: -2bx + -1bx = -3bx -3ab = -3bx Divide each side by '-3b'. a = x Simplifying a = x
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