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Simplifying 82.5 = 0.5x(9 + 21) Combine like terms: 9 + 21 = 30 82.5 = 0.5x(30) Reorder the terms for easier multiplication: 82.5 = 0.5 * 30x Multiply 0.5 * 30 82.5 = 15x Solving 82.5 = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 82.5 + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 82.5 + -15x = 0 Add '-82.5' to each side of the equation. 82.5 + -82.5 + -15x = 0 + -82.5 Combine like terms: 82.5 + -82.5 = 0.0 0.0 + -15x = 0 + -82.5 -15x = 0 + -82.5 Combine like terms: 0 + -82.5 = -82.5 -15x = -82.5 Divide each side by '-15'. x = 5.5 Simplifying x = 5.5
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