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Simplifying 2(4.5x + 1.5) + 3.5(8x + 4) = 0 Reorder the terms: 2(1.5 + 4.5x) + 3.5(8x + 4) = 0 (1.5 * 2 + 4.5x * 2) + 3.5(8x + 4) = 0 (3 + 9x) + 3.5(8x + 4) = 0 Reorder the terms: 3 + 9x + 3.5(4 + 8x) = 0 3 + 9x + (4 * 3.5 + 8x * 3.5) = 0 3 + 9x + (14 + 28x) = 0 Reorder the terms: 3 + 14 + 9x + 28x = 0 Combine like terms: 3 + 14 = 17 17 + 9x + 28x = 0 Combine like terms: 9x + 28x = 37x 17 + 37x = 0 Solving 17 + 37x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 37x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 37x = 0 + -17 37x = 0 + -17 Combine like terms: 0 + -17 = -17 37x = -17 Divide each side by '37'. x = -0.4594594595 Simplifying x = -0.4594594595
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