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Simplifying -4.5(7x + -6.5) = -23.5 Reorder the terms: -4.5(-6.5 + 7x) = -23.5 (-6.5 * -4.5 + 7x * -4.5) = -23.5 (29.25 + -31.5x) = -23.5 Solving 29.25 + -31.5x = -23.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29.25' to each side of the equation. 29.25 + -29.25 + -31.5x = -23.5 + -29.25 Combine like terms: 29.25 + -29.25 = 0.00 0.00 + -31.5x = -23.5 + -29.25 -31.5x = -23.5 + -29.25 Combine like terms: -23.5 + -29.25 = -52.75 -31.5x = -52.75 Divide each side by '-31.5'. x = 1.674603175 Simplifying x = 1.674603175
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