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Simplifying (7 + 4)(6 + 4x) = 25 + -7.5(x + 5) Combine like terms: 7 + 4 = 11 (11)(6 + 4x) = 25 + -7.5(x + 5) (6 * 11 + 4x * 11) = 25 + -7.5(x + 5) (66 + 44x) = 25 + -7.5(x + 5) Reorder the terms: 66 + 44x = 25 + -7.5(5 + x) 66 + 44x = 25 + (5 * -7.5 + x * -7.5) 66 + 44x = 25 + (-37.5 + -7.5x) Combine like terms: 25 + -37.5 = -12.5 66 + 44x = -12.5 + -7.5x Solving 66 + 44x = -12.5 + -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. 66 + 44x + 7.5x = -12.5 + -7.5x + 7.5x Combine like terms: 44x + 7.5x = 51.5x 66 + 51.5x = -12.5 + -7.5x + 7.5x Combine like terms: -7.5x + 7.5x = 0.0 66 + 51.5x = -12.5 + 0.0 66 + 51.5x = -12.5 Add '-66' to each side of the equation. 66 + -66 + 51.5x = -12.5 + -66 Combine like terms: 66 + -66 = 0 0 + 51.5x = -12.5 + -66 51.5x = -12.5 + -66 Combine like terms: -12.5 + -66 = -78.5 51.5x = -78.5 Divide each side by '51.5'. x = -1.524271845 Simplifying x = -1.524271845
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