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Simplifying (7x + b) = 4(x + 2c + b) Reorder the terms: (b + 7x) = 4(x + 2c + b) Remove parenthesis around (b + 7x) b + 7x = 4(x + 2c + b) Reorder the terms: b + 7x = 4(b + 2c + x) b + 7x = (b * 4 + 2c * 4 + x * 4) b + 7x = (4b + 8c + 4x) Solving b + 7x = 4b + 8c + 4x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. b + -4b + 7x = 4b + 8c + -4b + 4x Combine like terms: b + -4b = -3b -3b + 7x = 4b + 8c + -4b + 4x Reorder the terms: -3b + 7x = 4b + -4b + 8c + 4x Combine like terms: 4b + -4b = 0 -3b + 7x = 0 + 8c + 4x -3b + 7x = 8c + 4x Add '-7x' to each side of the equation. -3b + 7x + -7x = 8c + 4x + -7x Combine like terms: 7x + -7x = 0 -3b + 0 = 8c + 4x + -7x -3b = 8c + 4x + -7x Combine like terms: 4x + -7x = -3x -3b = 8c + -3x Divide each side by '-3'. b = -2.666666667c + x Simplifying b = -2.666666667c + x
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