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Simplifying 2x + 16 + -3bx + -1b + 12x + 4 = 5b + -3bx + 20 + -12x Reorder the terms: 16 + 4 + -1b + -3bx + 2x + 12x = 5b + -3bx + 20 + -12x Combine like terms: 16 + 4 = 20 20 + -1b + -3bx + 2x + 12x = 5b + -3bx + 20 + -12x Combine like terms: 2x + 12x = 14x 20 + -1b + -3bx + 14x = 5b + -3bx + 20 + -12x Reorder the terms: 20 + -1b + -3bx + 14x = 20 + 5b + -3bx + -12x Add '-20' to each side of the equation. 20 + -1b + -3bx + -20 + 14x = 20 + 5b + -3bx + -20 + -12x Reorder the terms: 20 + -20 + -1b + -3bx + 14x = 20 + 5b + -3bx + -20 + -12x Combine like terms: 20 + -20 = 0 0 + -1b + -3bx + 14x = 20 + 5b + -3bx + -20 + -12x -1b + -3bx + 14x = 20 + 5b + -3bx + -20 + -12x Reorder the terms: -1b + -3bx + 14x = 20 + -20 + 5b + -3bx + -12x Combine like terms: 20 + -20 = 0 -1b + -3bx + 14x = 0 + 5b + -3bx + -12x -1b + -3bx + 14x = 5b + -3bx + -12x Add '3bx' to each side of the equation. -1b + -3bx + 3bx + 14x = 5b + -3bx + 3bx + -12x Combine like terms: -3bx + 3bx = 0 -1b + 0 + 14x = 5b + -3bx + 3bx + -12x -1b + 14x = 5b + -3bx + 3bx + -12x Combine like terms: -3bx + 3bx = 0 -1b + 14x = 5b + 0 + -12x -1b + 14x = 5b + -12x Solving -1b + 14x = 5b + -12x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -1b + -5b + 14x = 5b + -5b + -12x Combine like terms: -1b + -5b = -6b -6b + 14x = 5b + -5b + -12x Combine like terms: 5b + -5b = 0 -6b + 14x = 0 + -12x -6b + 14x = -12x Add '-14x' to each side of the equation. -6b + 14x + -14x = -12x + -14x Combine like terms: 14x + -14x = 0 -6b + 0 = -12x + -14x -6b = -12x + -14x Combine like terms: -12x + -14x = -26x -6b = -26x Divide each side by '-6'. b = 4.333333333x Simplifying b = 4.333333333x
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