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Simplifying (4 + 3)(5 + 5x) = 30 + -7.5(x + 2) Combine like terms: 4 + 3 = 7 (7)(5 + 5x) = 30 + -7.5(x + 2) (5 * 7 + 5x * 7) = 30 + -7.5(x + 2) (35 + 35x) = 30 + -7.5(x + 2) Reorder the terms: 35 + 35x = 30 + -7.5(2 + x) 35 + 35x = 30 + (2 * -7.5 + x * -7.5) 35 + 35x = 30 + (-15 + -7.5x) Combine like terms: 30 + -15 = 15 35 + 35x = 15 + -7.5x Solving 35 + 35x = 15 + -7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5x' to each side of the equation. 35 + 35x + 7.5x = 15 + -7.5x + 7.5x Combine like terms: 35x + 7.5x = 42.5x 35 + 42.5x = 15 + -7.5x + 7.5x Combine like terms: -7.5x + 7.5x = 0.0 35 + 42.5x = 15 + 0.0 35 + 42.5x = 15 Add '-35' to each side of the equation. 35 + -35 + 42.5x = 15 + -35 Combine like terms: 35 + -35 = 0 0 + 42.5x = 15 + -35 42.5x = 15 + -35 Combine like terms: 15 + -35 = -20 42.5x = -20 Divide each side by '42.5'. x = -0.4705882353 Simplifying x = -0.4705882353
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