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Simplifying 17.5 = -6.5(3x + -6) Reorder the terms: 17.5 = -6.5(-6 + 3x) 17.5 = (-6 * -6.5 + 3x * -6.5) 17.5 = (39 + -19.5x) Solving 17.5 = 39 + -19.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19.5x' to each side of the equation. 17.5 + 19.5x = 39 + -19.5x + 19.5x Combine like terms: -19.5x + 19.5x = 0.0 17.5 + 19.5x = 39 + 0.0 17.5 + 19.5x = 39 Add '-17.5' to each side of the equation. 17.5 + -17.5 + 19.5x = 39 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 19.5x = 39 + -17.5 19.5x = 39 + -17.5 Combine like terms: 39 + -17.5 = 21.5 19.5x = 21.5 Divide each side by '19.5'. x = 1.102564103 Simplifying x = 1.102564103
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