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Simplifying 3(2x + 5) = 2x + b Reorder the terms: 3(5 + 2x) = 2x + b (5 * 3 + 2x * 3) = 2x + b (15 + 6x) = 2x + b Reorder the terms: 15 + 6x = b + 2x Solving 15 + 6x = b + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 6x + -2x = b + 2x + -2x Combine like terms: 6x + -2x = 4x 15 + 4x = b + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 4x = b + 0 15 + 4x = b Add '-15' to each side of the equation. 15 + -15 + 4x = -15 + b Combine like terms: 15 + -15 = 0 0 + 4x = -15 + b 4x = -15 + b Divide each side by '4'. x = -3.75 + 0.25b Simplifying x = -3.75 + 0.25b
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