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Simplifying x + 6(x + -50) = 750 Reorder the terms: x + 6(-50 + x) = 750 x + (-50 * 6 + x * 6) = 750 x + (-300 + 6x) = 750 Reorder the terms: -300 + x + 6x = 750 Combine like terms: x + 6x = 7x -300 + 7x = 750 Solving -300 + 7x = 750 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '300' to each side of the equation. -300 + 300 + 7x = 750 + 300 Combine like terms: -300 + 300 = 0 0 + 7x = 750 + 300 7x = 750 + 300 Combine like terms: 750 + 300 = 1050 7x = 1050 Divide each side by '7'. x = 150 Simplifying x = 150
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