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Simplifying (3 + 4)(2 + 6x) = 25 + -7.5(x + 3) Combine like terms: 3 + 4 = 7 (7)(2 + 6x) = 25 + -7.5(x + 3) (2 * 7 + 6x * 7) = 25 + -7.5(x + 3) (14 + 42x) = 25 + -7.5(x + 3) Reorder the terms: 14 + 42x = 25 + -7.5(3 + x) 14 + 42x = 25 + (3 * -7.5 + x * -7.5) 14 + 42x = 25 + (-22.5 + -7.5x) Combine like terms: 25 + -22.5 = 2.5 14 + 42x = 2.5 + -7.5x Solving 14 + 42x = 2.5 + -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. 14 + 42x + 7.5x = 2.5 + -7.5x + 7.5x Combine like terms: 42x + 7.5x = 49.5x 14 + 49.5x = 2.5 + -7.5x + 7.5x Combine like terms: -7.5x + 7.5x = 0.0 14 + 49.5x = 2.5 + 0.0 14 + 49.5x = 2.5 Add '-14' to each side of the equation. 14 + -14 + 49.5x = 2.5 + -14 Combine like terms: 14 + -14 = 0 0 + 49.5x = 2.5 + -14 49.5x = 2.5 + -14 Combine like terms: 2.5 + -14 = -11.5 49.5x = -11.5 Divide each side by '49.5'. x = -0.2323232323 Simplifying x = -0.2323232323
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