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Simplifying 4(2b + -3x) = 7b + 5x (2b * 4 + -3x * 4) = 7b + 5x (8b + -12x) = 7b + 5x Solving 8b + -12x = 7b + 5x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 8b + -7b + -12x = 7b + -7b + 5x Combine like terms: 8b + -7b = 1b 1b + -12x = 7b + -7b + 5x Combine like terms: 7b + -7b = 0 1b + -12x = 0 + 5x 1b + -12x = 5x Add '12x' to each side of the equation. 1b + -12x + 12x = 5x + 12x Combine like terms: -12x + 12x = 0 1b + 0 = 5x + 12x 1b = 5x + 12x Combine like terms: 5x + 12x = 17x 1b = 17x Divide each side by '1'. b = 17x Simplifying b = 17x
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