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Simplifying (2 + 2)(3 + 7x) = 40 + -2.5(x + 3) Combine like terms: 2 + 2 = 4 (4)(3 + 7x) = 40 + -2.5(x + 3) (3 * 4 + 7x * 4) = 40 + -2.5(x + 3) (12 + 28x) = 40 + -2.5(x + 3) Reorder the terms: 12 + 28x = 40 + -2.5(3 + x) 12 + 28x = 40 + (3 * -2.5 + x * -2.5) 12 + 28x = 40 + (-7.5 + -2.5x) Combine like terms: 40 + -7.5 = 32.5 12 + 28x = 32.5 + -2.5x Solving 12 + 28x = 32.5 + -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. 12 + 28x + 2.5x = 32.5 + -2.5x + 2.5x Combine like terms: 28x + 2.5x = 30.5x 12 + 30.5x = 32.5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 12 + 30.5x = 32.5 + 0.0 12 + 30.5x = 32.5 Add '-12' to each side of the equation. 12 + -12 + 30.5x = 32.5 + -12 Combine like terms: 12 + -12 = 0 0 + 30.5x = 32.5 + -12 30.5x = 32.5 + -12 Combine like terms: 32.5 + -12 = 20.5 30.5x = 20.5 Divide each side by '30.5'. x = 0.6721311475 Simplifying x = 0.6721311475
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