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Simplifying 2x + -7(3 + b) = b + 3 2x + (3 * -7 + b * -7) = b + 3 2x + (-21 + -7b) = b + 3 Reorder the terms: -21 + -7b + 2x = b + 3 Reorder the terms: -21 + -7b + 2x = 3 + b Solving -21 + -7b + 2x = 3 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -21 + -7b + -1b + 2x = 3 + b + -1b Combine like terms: -7b + -1b = -8b -21 + -8b + 2x = 3 + b + -1b Combine like terms: b + -1b = 0 -21 + -8b + 2x = 3 + 0 -21 + -8b + 2x = 3 Add '21' to each side of the equation. -21 + -8b + 21 + 2x = 3 + 21 Reorder the terms: -21 + 21 + -8b + 2x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -8b + 2x = 3 + 21 -8b + 2x = 3 + 21 Combine like terms: 3 + 21 = 24 -8b + 2x = 24 Add '-2x' to each side of the equation. -8b + 2x + -2x = 24 + -2x Combine like terms: 2x + -2x = 0 -8b + 0 = 24 + -2x -8b = 24 + -2x Divide each side by '-8'. b = -3 + 0.25x Simplifying b = -3 + 0.25x
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