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Simplifying (2 + 5)(2 + 3x) = 10 + -2.5(x + 2) Combine like terms: 2 + 5 = 7 (7)(2 + 3x) = 10 + -2.5(x + 2) (2 * 7 + 3x * 7) = 10 + -2.5(x + 2) (14 + 21x) = 10 + -2.5(x + 2) Reorder the terms: 14 + 21x = 10 + -2.5(2 + x) 14 + 21x = 10 + (2 * -2.5 + x * -2.5) 14 + 21x = 10 + (-5 + -2.5x) Combine like terms: 10 + -5 = 5 14 + 21x = 5 + -2.5x Solving 14 + 21x = 5 + -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. 14 + 21x + 2.5x = 5 + -2.5x + 2.5x Combine like terms: 21x + 2.5x = 23.5x 14 + 23.5x = 5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 14 + 23.5x = 5 + 0.0 14 + 23.5x = 5 Add '-14' to each side of the equation. 14 + -14 + 23.5x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 23.5x = 5 + -14 23.5x = 5 + -14 Combine like terms: 5 + -14 = -9 23.5x = -9 Divide each side by '23.5'. x = -0.3829787234 Simplifying x = -0.3829787234
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