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Simplifying 7(x + 2) + -4b = 2(x + 10) Reorder the terms: 7(2 + x) + -4b = 2(x + 10) (2 * 7 + x * 7) + -4b = 2(x + 10) (14 + 7x) + -4b = 2(x + 10) Reorder the terms: 14 + -4b + 7x = 2(x + 10) Reorder the terms: 14 + -4b + 7x = 2(10 + x) 14 + -4b + 7x = (10 * 2 + x * 2) 14 + -4b + 7x = (20 + 2x) Solving 14 + -4b + 7x = 20 + 2x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -4b + -14 + 7x = 20 + -14 + 2x Reorder the terms: 14 + -14 + -4b + 7x = 20 + -14 + 2x Combine like terms: 14 + -14 = 0 0 + -4b + 7x = 20 + -14 + 2x -4b + 7x = 20 + -14 + 2x Combine like terms: 20 + -14 = 6 -4b + 7x = 6 + 2x Add '-7x' to each side of the equation. -4b + 7x + -7x = 6 + 2x + -7x Combine like terms: 7x + -7x = 0 -4b + 0 = 6 + 2x + -7x -4b = 6 + 2x + -7x Combine like terms: 2x + -7x = -5x -4b = 6 + -5x Divide each side by '-4'. b = -1.5 + 1.25x Simplifying b = -1.5 + 1.25x
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