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Simplifying x + x + 50 + 3(x + -150) = 1000 Reorder the terms: x + x + 50 + 3(-150 + x) = 1000 x + x + 50 + (-150 * 3 + x * 3) = 1000 x + x + 50 + (-450 + 3x) = 1000 Reorder the terms: 50 + -450 + x + x + 3x = 1000 Combine like terms: 50 + -450 = -400 -400 + x + x + 3x = 1000 Combine like terms: x + x = 2x -400 + 2x + 3x = 1000 Combine like terms: 2x + 3x = 5x -400 + 5x = 1000 Solving -400 + 5x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '400' to each side of the equation. -400 + 400 + 5x = 1000 + 400 Combine like terms: -400 + 400 = 0 0 + 5x = 1000 + 400 5x = 1000 + 400 Combine like terms: 1000 + 400 = 1400 5x = 1400 Divide each side by '5'. x = 280 Simplifying x = 280
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