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Simplifying (3 + 5)(4 + 5x) = 40 + -5.5(x + 2) Combine like terms: 3 + 5 = 8 (8)(4 + 5x) = 40 + -5.5(x + 2) (4 * 8 + 5x * 8) = 40 + -5.5(x + 2) (32 + 40x) = 40 + -5.5(x + 2) Reorder the terms: 32 + 40x = 40 + -5.5(2 + x) 32 + 40x = 40 + (2 * -5.5 + x * -5.5) 32 + 40x = 40 + (-11 + -5.5x) Combine like terms: 40 + -11 = 29 32 + 40x = 29 + -5.5x Solving 32 + 40x = 29 + -5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5x' to each side of the equation. 32 + 40x + 5.5x = 29 + -5.5x + 5.5x Combine like terms: 40x + 5.5x = 45.5x 32 + 45.5x = 29 + -5.5x + 5.5x Combine like terms: -5.5x + 5.5x = 0.0 32 + 45.5x = 29 + 0.0 32 + 45.5x = 29 Add '-32' to each side of the equation. 32 + -32 + 45.5x = 29 + -32 Combine like terms: 32 + -32 = 0 0 + 45.5x = 29 + -32 45.5x = 29 + -32 Combine like terms: 29 + -32 = -3 45.5x = -3 Divide each side by '45.5'. x = -0.06593406593 Simplifying x = -0.06593406593
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