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Simplifying (3 + 4)(6 + 5x) = 25 + -1.5(x + 3) Combine like terms: 3 + 4 = 7 (7)(6 + 5x) = 25 + -1.5(x + 3) (6 * 7 + 5x * 7) = 25 + -1.5(x + 3) (42 + 35x) = 25 + -1.5(x + 3) Reorder the terms: 42 + 35x = 25 + -1.5(3 + x) 42 + 35x = 25 + (3 * -1.5 + x * -1.5) 42 + 35x = 25 + (-4.5 + -1.5x) Combine like terms: 25 + -4.5 = 20.5 42 + 35x = 20.5 + -1.5x Solving 42 + 35x = 20.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 42 + 35x + 1.5x = 20.5 + -1.5x + 1.5x Combine like terms: 35x + 1.5x = 36.5x 42 + 36.5x = 20.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 42 + 36.5x = 20.5 + 0.0 42 + 36.5x = 20.5 Add '-42' to each side of the equation. 42 + -42 + 36.5x = 20.5 + -42 Combine like terms: 42 + -42 = 0 0 + 36.5x = 20.5 + -42 36.5x = 20.5 + -42 Combine like terms: 20.5 + -42 = -21.5 36.5x = -21.5 Divide each side by '36.5'. x = -0.5890410959 Simplifying x = -0.5890410959
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