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Simplifying 2(x + 2) + -1(9 + b) = 2 Reorder the terms: 2(2 + x) + -1(9 + b) = 2 (2 * 2 + x * 2) + -1(9 + b) = 2 (4 + 2x) + -1(9 + b) = 2 4 + 2x + (9 * -1 + b * -1) = 2 4 + 2x + (-9 + -1b) = 2 Reorder the terms: 4 + -9 + -1b + 2x = 2 Combine like terms: 4 + -9 = -5 -5 + -1b + 2x = 2 Solving -5 + -1b + 2x = 2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1b + 5 + 2x = 2 + 5 Reorder the terms: -5 + 5 + -1b + 2x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1b + 2x = 2 + 5 -1b + 2x = 2 + 5 Combine like terms: 2 + 5 = 7 -1b + 2x = 7 Add '-2x' to each side of the equation. -1b + 2x + -2x = 7 + -2x Combine like terms: 2x + -2x = 0 -1b + 0 = 7 + -2x -1b = 7 + -2x Divide each side by '-1'. b = -7 + 2x Simplifying b = -7 + 2x
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