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Simplifying 600 = x(40) + x(1.5)(23) Reorder the terms for easier multiplication: 600 = 40x + x(1.5)(23) Reorder the terms for easier multiplication: 600 = 40x + 1.5 * 23x Multiply 1.5 * 23 600 = 40x + 34.5x Combine like terms: 40x + 34.5x = 74.5x 600 = 74.5x Solving 600 = 74.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74.5x' to each side of the equation. 600 + -74.5x = 74.5x + -74.5x Combine like terms: 74.5x + -74.5x = 0.0 600 + -74.5x = 0.0 Add '-600' to each side of the equation. 600 + -600 + -74.5x = 0.0 + -600 Combine like terms: 600 + -600 = 0 0 + -74.5x = 0.0 + -600 -74.5x = 0.0 + -600 Combine like terms: 0.0 + -600 = -600 -74.5x = -600 Divide each side by '-74.5'. x = 8.053691275 Simplifying x = 8.053691275
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