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Simplifying (2 + 2)(5 + 7x) = 35 + -4.5(x + 5) Combine like terms: 2 + 2 = 4 (4)(5 + 7x) = 35 + -4.5(x + 5) (5 * 4 + 7x * 4) = 35 + -4.5(x + 5) (20 + 28x) = 35 + -4.5(x + 5) Reorder the terms: 20 + 28x = 35 + -4.5(5 + x) 20 + 28x = 35 + (5 * -4.5 + x * -4.5) 20 + 28x = 35 + (-22.5 + -4.5x) Combine like terms: 35 + -22.5 = 12.5 20 + 28x = 12.5 + -4.5x Solving 20 + 28x = 12.5 + -4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5x' to each side of the equation. 20 + 28x + 4.5x = 12.5 + -4.5x + 4.5x Combine like terms: 28x + 4.5x = 32.5x 20 + 32.5x = 12.5 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 20 + 32.5x = 12.5 + 0.0 20 + 32.5x = 12.5 Add '-20' to each side of the equation. 20 + -20 + 32.5x = 12.5 + -20 Combine like terms: 20 + -20 = 0 0 + 32.5x = 12.5 + -20 32.5x = 12.5 + -20 Combine like terms: 12.5 + -20 = -7.5 32.5x = -7.5 Divide each side by '32.5'. x = -0.2307692308 Simplifying x = -0.2307692308
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