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Simplifying 171 = 0.5x(10 + 9) Combine like terms: 10 + 9 = 19 171 = 0.5x(19) Reorder the terms for easier multiplication: 171 = 0.5 * 19x Multiply 0.5 * 19 171 = 9.5x Solving 171 = 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. 171 + -9.5x = 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 171 + -9.5x = 0.0 Add '-171' to each side of the equation. 171 + -171 + -9.5x = 0.0 + -171 Combine like terms: 171 + -171 = 0 0 + -9.5x = 0.0 + -171 -9.5x = 0.0 + -171 Combine like terms: 0.0 + -171 = -171 -9.5x = -171 Divide each side by '-9.5'. x = 18 Simplifying x = 18
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