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Simplifying (2 + 7)(4 + 5x) = 25 + -3.5(x + 2) Combine like terms: 2 + 7 = 9 (9)(4 + 5x) = 25 + -3.5(x + 2) (4 * 9 + 5x * 9) = 25 + -3.5(x + 2) (36 + 45x) = 25 + -3.5(x + 2) Reorder the terms: 36 + 45x = 25 + -3.5(2 + x) 36 + 45x = 25 + (2 * -3.5 + x * -3.5) 36 + 45x = 25 + (-7 + -3.5x) Combine like terms: 25 + -7 = 18 36 + 45x = 18 + -3.5x Solving 36 + 45x = 18 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. 36 + 45x + 3.5x = 18 + -3.5x + 3.5x Combine like terms: 45x + 3.5x = 48.5x 36 + 48.5x = 18 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 36 + 48.5x = 18 + 0.0 36 + 48.5x = 18 Add '-36' to each side of the equation. 36 + -36 + 48.5x = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 48.5x = 18 + -36 48.5x = 18 + -36 Combine like terms: 18 + -36 = -18 48.5x = -18 Divide each side by '48.5'. x = -0.3711340206 Simplifying x = -0.3711340206
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