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