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Simplifying 2x + 4b + -7 = 5x + 7b + 10 Reorder the terms: -7 + 4b + 2x = 5x + 7b + 10 Reorder the terms: -7 + 4b + 2x = 10 + 7b + 5x Solving -7 + 4b + 2x = 10 + 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. -7 + 4b + -7b + 2x = 10 + 7b + -7b + 5x Combine like terms: 4b + -7b = -3b -7 + -3b + 2x = 10 + 7b + -7b + 5x Combine like terms: 7b + -7b = 0 -7 + -3b + 2x = 10 + 0 + 5x -7 + -3b + 2x = 10 + 5x Add '7' to each side of the equation. -7 + -3b + 7 + 2x = 10 + 7 + 5x Reorder the terms: -7 + 7 + -3b + 2x = 10 + 7 + 5x Combine like terms: -7 + 7 = 0 0 + -3b + 2x = 10 + 7 + 5x -3b + 2x = 10 + 7 + 5x Combine like terms: 10 + 7 = 17 -3b + 2x = 17 + 5x Add '-2x' to each side of the equation. -3b + 2x + -2x = 17 + 5x + -2x Combine like terms: 2x + -2x = 0 -3b + 0 = 17 + 5x + -2x -3b = 17 + 5x + -2x Combine like terms: 5x + -2x = 3x -3b = 17 + 3x Divide each side by '-3'. b = -5.666666667 + -1x Simplifying b = -5.666666667 + -1x
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