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Simplifying 12x + 4b + -2c = 4x + 12b + 12c Reorder the terms: 4b + -2c + 12x = 4x + 12b + 12c Reorder the terms: 4b + -2c + 12x = 12b + 12c + 4x Solving 4b + -2c + 12x = 12b + 12c + 4x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 4b + -2c + -12b + 12x = 12b + 12c + -12b + 4x Reorder the terms: 4b + -12b + -2c + 12x = 12b + 12c + -12b + 4x Combine like terms: 4b + -12b = -8b -8b + -2c + 12x = 12b + 12c + -12b + 4x Reorder the terms: -8b + -2c + 12x = 12b + -12b + 12c + 4x Combine like terms: 12b + -12b = 0 -8b + -2c + 12x = 0 + 12c + 4x -8b + -2c + 12x = 12c + 4x Add '2c' to each side of the equation. -8b + -2c + 2c + 12x = 12c + 2c + 4x Combine like terms: -2c + 2c = 0 -8b + 0 + 12x = 12c + 2c + 4x -8b + 12x = 12c + 2c + 4x Combine like terms: 12c + 2c = 14c -8b + 12x = 14c + 4x Add '-12x' to each side of the equation. -8b + 12x + -12x = 14c + 4x + -12x Combine like terms: 12x + -12x = 0 -8b + 0 = 14c + 4x + -12x -8b = 14c + 4x + -12x Combine like terms: 4x + -12x = -8x -8b = 14c + -8x Divide each side by '-8'. b = -1.75c + x Simplifying b = -1.75c + x
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