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Simplifying -9.5(5x + 3) = 21.5 + 8.5x Reorder the terms: -9.5(3 + 5x) = 21.5 + 8.5x (3 * -9.5 + 5x * -9.5) = 21.5 + 8.5x (-28.5 + -47.5x) = 21.5 + 8.5x Solving -28.5 + -47.5x = 21.5 + 8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5x' to each side of the equation. -28.5 + -47.5x + -8.5x = 21.5 + 8.5x + -8.5x Combine like terms: -47.5x + -8.5x = -56x -28.5 + -56x = 21.5 + 8.5x + -8.5x Combine like terms: 8.5x + -8.5x = 0.0 -28.5 + -56x = 21.5 + 0.0 -28.5 + -56x = 21.5 Add '28.5' to each side of the equation. -28.5 + 28.5 + -56x = 21.5 + 28.5 Combine like terms: -28.5 + 28.5 = 0.0 0.0 + -56x = 21.5 + 28.5 -56x = 21.5 + 28.5 Combine like terms: 21.5 + 28.5 = 50 -56x = 50 Divide each side by '-56'. x = -0.8928571429 Simplifying x = -0.8928571429
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