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Simplifying (2 + 3)(3 + 7x) = 15 + -2.5(x + 2) Combine like terms: 2 + 3 = 5 (5)(3 + 7x) = 15 + -2.5(x + 2) (3 * 5 + 7x * 5) = 15 + -2.5(x + 2) (15 + 35x) = 15 + -2.5(x + 2) Reorder the terms: 15 + 35x = 15 + -2.5(2 + x) 15 + 35x = 15 + (2 * -2.5 + x * -2.5) 15 + 35x = 15 + (-5 + -2.5x) Combine like terms: 15 + -5 = 10 15 + 35x = 10 + -2.5x Solving 15 + 35x = 10 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. 15 + 35x + 2.5x = 10 + -2.5x + 2.5x Combine like terms: 35x + 2.5x = 37.5x 15 + 37.5x = 10 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 15 + 37.5x = 10 + 0.0 15 + 37.5x = 10 Add '-15' to each side of the equation. 15 + -15 + 37.5x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 37.5x = 10 + -15 37.5x = 10 + -15 Combine like terms: 10 + -15 = -5 37.5x = -5 Divide each side by '37.5'. x = -0.1333333333 Simplifying x = -0.1333333333
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