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Simplifying (3 + 7)(5 + 6x) = 20 + -6.5(x + 1) Combine like terms: 3 + 7 = 10 (10)(5 + 6x) = 20 + -6.5(x + 1) (5 * 10 + 6x * 10) = 20 + -6.5(x + 1) (50 + 60x) = 20 + -6.5(x + 1) Reorder the terms: 50 + 60x = 20 + -6.5(1 + x) 50 + 60x = 20 + (1 * -6.5 + x * -6.5) 50 + 60x = 20 + (-6.5 + -6.5x) Combine like terms: 20 + -6.5 = 13.5 50 + 60x = 13.5 + -6.5x Solving 50 + 60x = 13.5 + -6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5x' to each side of the equation. 50 + 60x + 6.5x = 13.5 + -6.5x + 6.5x Combine like terms: 60x + 6.5x = 66.5x 50 + 66.5x = 13.5 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 50 + 66.5x = 13.5 + 0.0 50 + 66.5x = 13.5 Add '-50' to each side of the equation. 50 + -50 + 66.5x = 13.5 + -50 Combine like terms: 50 + -50 = 0 0 + 66.5x = 13.5 + -50 66.5x = 13.5 + -50 Combine like terms: 13.5 + -50 = -36.5 66.5x = -36.5 Divide each side by '66.5'. x = -0.5488721805 Simplifying x = -0.5488721805
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