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Simplifying (2 + 3)(3 + 5x) = 40 + -7.5(x + 4) Combine like terms: 2 + 3 = 5 (5)(3 + 5x) = 40 + -7.5(x + 4) (3 * 5 + 5x * 5) = 40 + -7.5(x + 4) (15 + 25x) = 40 + -7.5(x + 4) Reorder the terms: 15 + 25x = 40 + -7.5(4 + x) 15 + 25x = 40 + (4 * -7.5 + x * -7.5) 15 + 25x = 40 + (-30 + -7.5x) Combine like terms: 40 + -30 = 10 15 + 25x = 10 + -7.5x Solving 15 + 25x = 10 + -7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5x' to each side of the equation. 15 + 25x + 7.5x = 10 + -7.5x + 7.5x Combine like terms: 25x + 7.5x = 32.5x 15 + 32.5x = 10 + -7.5x + 7.5x Combine like terms: -7.5x + 7.5x = 0.0 15 + 32.5x = 10 + 0.0 15 + 32.5x = 10 Add '-15' to each side of the equation. 15 + -15 + 32.5x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 32.5x = 10 + -15 32.5x = 10 + -15 Combine like terms: 10 + -15 = -5 32.5x = -5 Divide each side by '32.5'. x = -0.1538461538 Simplifying x = -0.1538461538
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