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Simplifying (1 + 4)(2 + 6x) = 15 + -5.5(x + 3) Combine like terms: 1 + 4 = 5 (5)(2 + 6x) = 15 + -5.5(x + 3) (2 * 5 + 6x * 5) = 15 + -5.5(x + 3) (10 + 30x) = 15 + -5.5(x + 3) Reorder the terms: 10 + 30x = 15 + -5.5(3 + x) 10 + 30x = 15 + (3 * -5.5 + x * -5.5) 10 + 30x = 15 + (-16.5 + -5.5x) Combine like terms: 15 + -16.5 = -1.5 10 + 30x = -1.5 + -5.5x Solving 10 + 30x = -1.5 + -5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5x' to each side of the equation. 10 + 30x + 5.5x = -1.5 + -5.5x + 5.5x Combine like terms: 30x + 5.5x = 35.5x 10 + 35.5x = -1.5 + -5.5x + 5.5x Combine like terms: -5.5x + 5.5x = 0.0 10 + 35.5x = -1.5 + 0.0 10 + 35.5x = -1.5 Add '-10' to each side of the equation. 10 + -10 + 35.5x = -1.5 + -10 Combine like terms: 10 + -10 = 0 0 + 35.5x = -1.5 + -10 35.5x = -1.5 + -10 Combine like terms: -1.5 + -10 = -11.5 35.5x = -11.5 Divide each side by '35.5'. x = -0.323943662 Simplifying x = -0.323943662
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