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Simplifying (3 + 2)(6 + 8x) = 5 + -6.5(x + 3) Combine like terms: 3 + 2 = 5 (5)(6 + 8x) = 5 + -6.5(x + 3) (6 * 5 + 8x * 5) = 5 + -6.5(x + 3) (30 + 40x) = 5 + -6.5(x + 3) Reorder the terms: 30 + 40x = 5 + -6.5(3 + x) 30 + 40x = 5 + (3 * -6.5 + x * -6.5) 30 + 40x = 5 + (-19.5 + -6.5x) Combine like terms: 5 + -19.5 = -14.5 30 + 40x = -14.5 + -6.5x Solving 30 + 40x = -14.5 + -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. 30 + 40x + 6.5x = -14.5 + -6.5x + 6.5x Combine like terms: 40x + 6.5x = 46.5x 30 + 46.5x = -14.5 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 30 + 46.5x = -14.5 + 0.0 30 + 46.5x = -14.5 Add '-30' to each side of the equation. 30 + -30 + 46.5x = -14.5 + -30 Combine like terms: 30 + -30 = 0 0 + 46.5x = -14.5 + -30 46.5x = -14.5 + -30 Combine like terms: -14.5 + -30 = -44.5 46.5x = -44.5 Divide each side by '46.5'. x = -0.9569892473 Simplifying x = -0.9569892473
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