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Simplifying 4x + 6x + -5b = 54.2 + 65b Reorder the terms: -5b + 4x + 6x = 54.2 + 65b Combine like terms: 4x + 6x = 10x -5b + 10x = 54.2 + 65b Solving -5b + 10x = 54.2 + 65b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-65b' to each side of the equation. -5b + -65b + 10x = 54.2 + 65b + -65b Combine like terms: -5b + -65b = -70b -70b + 10x = 54.2 + 65b + -65b Combine like terms: 65b + -65b = 0 -70b + 10x = 54.2 + 0 -70b + 10x = 54.2 Add '-10x' to each side of the equation. -70b + 10x + -10x = 54.2 + -10x Combine like terms: 10x + -10x = 0 -70b + 0 = 54.2 + -10x -70b = 54.2 + -10x Divide each side by '-70'. b = -0.7742857143 + 0.1428571429x Simplifying b = -0.7742857143 + 0.1428571429x
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