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Simplifying (2 + 3)(5 + 3x) = 50 + -2.5(x + 2) Combine like terms: 2 + 3 = 5 (5)(5 + 3x) = 50 + -2.5(x + 2) (5 * 5 + 3x * 5) = 50 + -2.5(x + 2) (25 + 15x) = 50 + -2.5(x + 2) Reorder the terms: 25 + 15x = 50 + -2.5(2 + x) 25 + 15x = 50 + (2 * -2.5 + x * -2.5) 25 + 15x = 50 + (-5 + -2.5x) Combine like terms: 50 + -5 = 45 25 + 15x = 45 + -2.5x Solving 25 + 15x = 45 + -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. 25 + 15x + 2.5x = 45 + -2.5x + 2.5x Combine like terms: 15x + 2.5x = 17.5x 25 + 17.5x = 45 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 25 + 17.5x = 45 + 0.0 25 + 17.5x = 45 Add '-25' to each side of the equation. 25 + -25 + 17.5x = 45 + -25 Combine like terms: 25 + -25 = 0 0 + 17.5x = 45 + -25 17.5x = 45 + -25 Combine like terms: 45 + -25 = 20 17.5x = 20 Divide each side by '17.5'. x = 1.142857143 Simplifying x = 1.142857143
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