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Simplifying (4 + 8)(3 + 7x) = 50 + -4.5(x + 5) Combine like terms: 4 + 8 = 12 (12)(3 + 7x) = 50 + -4.5(x + 5) (3 * 12 + 7x * 12) = 50 + -4.5(x + 5) (36 + 84x) = 50 + -4.5(x + 5) Reorder the terms: 36 + 84x = 50 + -4.5(5 + x) 36 + 84x = 50 + (5 * -4.5 + x * -4.5) 36 + 84x = 50 + (-22.5 + -4.5x) Combine like terms: 50 + -22.5 = 27.5 36 + 84x = 27.5 + -4.5x Solving 36 + 84x = 27.5 + -4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5x' to each side of the equation. 36 + 84x + 4.5x = 27.5 + -4.5x + 4.5x Combine like terms: 84x + 4.5x = 88.5x 36 + 88.5x = 27.5 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 36 + 88.5x = 27.5 + 0.0 36 + 88.5x = 27.5 Add '-36' to each side of the equation. 36 + -36 + 88.5x = 27.5 + -36 Combine like terms: 36 + -36 = 0 0 + 88.5x = 27.5 + -36 88.5x = 27.5 + -36 Combine like terms: 27.5 + -36 = -8.5 88.5x = -8.5 Divide each side by '88.5'. x = -0.09604519774 Simplifying x = -0.09604519774
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