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Simplifying 1800 = 3x * 50 + x * 60 + 2x * 45 Reorder the terms for easier multiplication: 1800 = 3 * 50x + x * 60 + 2x * 45 Multiply 3 * 50 1800 = 150x + x * 60 + 2x * 45 Reorder the terms for easier multiplication: 1800 = 150x + 60x + 2x * 45 Reorder the terms for easier multiplication: 1800 = 150x + 60x + 2 * 45x Multiply 2 * 45 1800 = 150x + 60x + 90x Combine like terms: 150x + 60x = 210x 1800 = 210x + 90x Combine like terms: 210x + 90x = 300x 1800 = 300x Solving 1800 = 300x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300x' to each side of the equation. 1800 + -300x = 300x + -300x Combine like terms: 300x + -300x = 0 1800 + -300x = 0 Add '-1800' to each side of the equation. 1800 + -1800 + -300x = 0 + -1800 Combine like terms: 1800 + -1800 = 0 0 + -300x = 0 + -1800 -300x = 0 + -1800 Combine like terms: 0 + -1800 = -1800 -300x = -1800 Divide each side by '-300'. x = 6 Simplifying x = 6
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