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Simplifying 2x * 70 + x * 60 + x + 1 * 50 + x + 1 * 150 = 1000 Reorder the terms for easier multiplication: 2 * 70x + x * 60 + x + 1 * 50 + x + 1 * 150 = 1000 Multiply 2 * 70 140x + x * 60 + x + 1 * 50 + x + 1 * 150 = 1000 Reorder the terms for easier multiplication: 140x + 60x + x + 1 * 50 + x + 1 * 150 = 1000 Multiply 1 * 50 140x + 60x + x + 50 + x + 1 * 150 = 1000 Multiply 1 * 150 140x + 60x + x + 50 + x + 150 = 1000 Reorder the terms: 50 + 150 + 140x + 60x + x + x = 1000 Combine like terms: 50 + 150 = 200 200 + 140x + 60x + x + x = 1000 Combine like terms: 140x + 60x = 200x 200 + 200x + x + x = 1000 Combine like terms: 200x + x = 201x 200 + 201x + x = 1000 Combine like terms: 201x + x = 202x 200 + 202x = 1000 Solving 200 + 202x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 202x = 1000 + -200 Combine like terms: 200 + -200 = 0 0 + 202x = 1000 + -200 202x = 1000 + -200 Combine like terms: 1000 + -200 = 800 202x = 800 Divide each side by '202'. x = 3.96039604 Simplifying x = 3.96039604
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