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Simplifying (8 + 3)(6 + 4x) = 35 + -6.5(x + 4) Combine like terms: 8 + 3 = 11 (11)(6 + 4x) = 35 + -6.5(x + 4) (6 * 11 + 4x * 11) = 35 + -6.5(x + 4) (66 + 44x) = 35 + -6.5(x + 4) Reorder the terms: 66 + 44x = 35 + -6.5(4 + x) 66 + 44x = 35 + (4 * -6.5 + x * -6.5) 66 + 44x = 35 + (-26 + -6.5x) Combine like terms: 35 + -26 = 9 66 + 44x = 9 + -6.5x Solving 66 + 44x = 9 + -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. 66 + 44x + 6.5x = 9 + -6.5x + 6.5x Combine like terms: 44x + 6.5x = 50.5x 66 + 50.5x = 9 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 66 + 50.5x = 9 + 0.0 66 + 50.5x = 9 Add '-66' to each side of the equation. 66 + -66 + 50.5x = 9 + -66 Combine like terms: 66 + -66 = 0 0 + 50.5x = 9 + -66 50.5x = 9 + -66 Combine like terms: 9 + -66 = -57 50.5x = -57 Divide each side by '50.5'. x = -1.128712871 Simplifying x = -1.128712871
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