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Simplifying (4 + 2)(1 + 2x) = 25 + -3.5(x + 4) Combine like terms: 4 + 2 = 6 (6)(1 + 2x) = 25 + -3.5(x + 4) (1 * 6 + 2x * 6) = 25 + -3.5(x + 4) (6 + 12x) = 25 + -3.5(x + 4) Reorder the terms: 6 + 12x = 25 + -3.5(4 + x) 6 + 12x = 25 + (4 * -3.5 + x * -3.5) 6 + 12x = 25 + (-14 + -3.5x) Combine like terms: 25 + -14 = 11 6 + 12x = 11 + -3.5x Solving 6 + 12x = 11 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. 6 + 12x + 3.5x = 11 + -3.5x + 3.5x Combine like terms: 12x + 3.5x = 15.5x 6 + 15.5x = 11 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 6 + 15.5x = 11 + 0.0 6 + 15.5x = 11 Add '-6' to each side of the equation. 6 + -6 + 15.5x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 15.5x = 11 + -6 15.5x = 11 + -6 Combine like terms: 11 + -6 = 5 15.5x = 5 Divide each side by '15.5'. x = 0.3225806452 Simplifying x = 0.3225806452
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