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Simplifying (4 + 6)(2 + 4x) = 45 + -2.5(x + 3) Combine like terms: 4 + 6 = 10 (10)(2 + 4x) = 45 + -2.5(x + 3) (2 * 10 + 4x * 10) = 45 + -2.5(x + 3) (20 + 40x) = 45 + -2.5(x + 3) Reorder the terms: 20 + 40x = 45 + -2.5(3 + x) 20 + 40x = 45 + (3 * -2.5 + x * -2.5) 20 + 40x = 45 + (-7.5 + -2.5x) Combine like terms: 45 + -7.5 = 37.5 20 + 40x = 37.5 + -2.5x Solving 20 + 40x = 37.5 + -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. 20 + 40x + 2.5x = 37.5 + -2.5x + 2.5x Combine like terms: 40x + 2.5x = 42.5x 20 + 42.5x = 37.5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 20 + 42.5x = 37.5 + 0.0 20 + 42.5x = 37.5 Add '-20' to each side of the equation. 20 + -20 + 42.5x = 37.5 + -20 Combine like terms: 20 + -20 = 0 0 + 42.5x = 37.5 + -20 42.5x = 37.5 + -20 Combine like terms: 37.5 + -20 = 17.5 42.5x = 17.5 Divide each side by '42.5'. x = 0.4117647059 Simplifying x = 0.4117647059
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