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Simplifying 8x + -5c + 7b = 5x + -2c + 10b Reorder the terms: 7b + -5c + 8x = 5x + -2c + 10b Reorder the terms: 7b + -5c + 8x = 10b + -2c + 5x Solving 7b + -5c + 8x = 10b + -2c + 5x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 7b + -5c + -10b + 8x = 10b + -2c + -10b + 5x Reorder the terms: 7b + -10b + -5c + 8x = 10b + -2c + -10b + 5x Combine like terms: 7b + -10b = -3b -3b + -5c + 8x = 10b + -2c + -10b + 5x Reorder the terms: -3b + -5c + 8x = 10b + -10b + -2c + 5x Combine like terms: 10b + -10b = 0 -3b + -5c + 8x = 0 + -2c + 5x -3b + -5c + 8x = -2c + 5x Add '5c' to each side of the equation. -3b + -5c + 5c + 8x = -2c + 5c + 5x Combine like terms: -5c + 5c = 0 -3b + 0 + 8x = -2c + 5c + 5x -3b + 8x = -2c + 5c + 5x Combine like terms: -2c + 5c = 3c -3b + 8x = 3c + 5x Add '-8x' to each side of the equation. -3b + 8x + -8x = 3c + 5x + -8x Combine like terms: 8x + -8x = 0 -3b + 0 = 3c + 5x + -8x -3b = 3c + 5x + -8x Combine like terms: 5x + -8x = -3x -3b = 3c + -3x Divide each side by '-3'. b = -1c + x Simplifying b = -1c + x
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