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Simplifying (7 + 5)(6 + 4x) = 60 + -2.5(x + 4) Combine like terms: 7 + 5 = 12 (12)(6 + 4x) = 60 + -2.5(x + 4) (6 * 12 + 4x * 12) = 60 + -2.5(x + 4) (72 + 48x) = 60 + -2.5(x + 4) Reorder the terms: 72 + 48x = 60 + -2.5(4 + x) 72 + 48x = 60 + (4 * -2.5 + x * -2.5) 72 + 48x = 60 + (-10 + -2.5x) Combine like terms: 60 + -10 = 50 72 + 48x = 50 + -2.5x Solving 72 + 48x = 50 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. 72 + 48x + 2.5x = 50 + -2.5x + 2.5x Combine like terms: 48x + 2.5x = 50.5x 72 + 50.5x = 50 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 72 + 50.5x = 50 + 0.0 72 + 50.5x = 50 Add '-72' to each side of the equation. 72 + -72 + 50.5x = 50 + -72 Combine like terms: 72 + -72 = 0 0 + 50.5x = 50 + -72 50.5x = 50 + -72 Combine like terms: 50 + -72 = -22 50.5x = -22 Divide each side by '50.5'. x = -0.4356435644 Simplifying x = -0.4356435644
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