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Simplifying (2 + 5)(6 + 3x) = 25 + -7.5(x + 2) Combine like terms: 2 + 5 = 7 (7)(6 + 3x) = 25 + -7.5(x + 2) (6 * 7 + 3x * 7) = 25 + -7.5(x + 2) (42 + 21x) = 25 + -7.5(x + 2) Reorder the terms: 42 + 21x = 25 + -7.5(2 + x) 42 + 21x = 25 + (2 * -7.5 + x * -7.5) 42 + 21x = 25 + (-15 + -7.5x) Combine like terms: 25 + -15 = 10 42 + 21x = 10 + -7.5x Solving 42 + 21x = 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. 42 + 21x + 7.5x = 10 + -7.5x + 7.5x Combine like terms: 21x + 7.5x = 28.5x 42 + 28.5x = 10 + -7.5x + 7.5x Combine like terms: -7.5x + 7.5x = 0.0 42 + 28.5x = 10 + 0.0 42 + 28.5x = 10 Add '-42' to each side of the equation. 42 + -42 + 28.5x = 10 + -42 Combine like terms: 42 + -42 = 0 0 + 28.5x = 10 + -42 28.5x = 10 + -42 Combine like terms: 10 + -42 = -32 28.5x = -32 Divide each side by '28.5'. x = -1.122807018 Simplifying x = -1.122807018
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