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Simplifying (3 + 2)(4 + 5x) = 10 + -4.5(x + 3) Combine like terms: 3 + 2 = 5 (5)(4 + 5x) = 10 + -4.5(x + 3) (4 * 5 + 5x * 5) = 10 + -4.5(x + 3) (20 + 25x) = 10 + -4.5(x + 3) Reorder the terms: 20 + 25x = 10 + -4.5(3 + x) 20 + 25x = 10 + (3 * -4.5 + x * -4.5) 20 + 25x = 10 + (-13.5 + -4.5x) Combine like terms: 10 + -13.5 = -3.5 20 + 25x = -3.5 + -4.5x Solving 20 + 25x = -3.5 + -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 + 25x + 4.5x = -3.5 + -4.5x + 4.5x Combine like terms: 25x + 4.5x = 29.5x 20 + 29.5x = -3.5 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 20 + 29.5x = -3.5 + 0.0 20 + 29.5x = -3.5 Add '-20' to each side of the equation. 20 + -20 + 29.5x = -3.5 + -20 Combine like terms: 20 + -20 = 0 0 + 29.5x = -3.5 + -20 29.5x = -3.5 + -20 Combine like terms: -3.5 + -20 = -23.5 29.5x = -23.5 Divide each side by '29.5'. x = -0.7966101695 Simplifying x = -0.7966101695
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