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Simplifying 7x + 14(50 + -1x) = 8.40(50) 7x + (50 * 14 + -1x * 14) = 8.40(50) 7x + (700 + -14x) = 8.40(50) Reorder the terms: 700 + 7x + -14x = 8.40(50) Combine like terms: 7x + -14x = -7x 700 + -7x = 8.40(50) Multiply 8.40 * 50 700 + -7x = 420 Solving 700 + -7x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-700' to each side of the equation. 700 + -700 + -7x = 420 + -700 Combine like terms: 700 + -700 = 0 0 + -7x = 420 + -700 -7x = 420 + -700 Combine like terms: 420 + -700 = -280 -7x = -280 Divide each side by '-7'. x = 40 Simplifying x = 40
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