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Simplifying x + (x + 50) + 3(x + 50) = 1000 Reorder the terms: x + (50 + x) + 3(x + 50) = 1000 Remove parenthesis around (50 + x) x + 50 + x + 3(x + 50) = 1000 Reorder the terms: x + 50 + x + 3(50 + x) = 1000 x + 50 + x + (50 * 3 + x * 3) = 1000 x + 50 + x + (150 + 3x) = 1000 Reorder the terms: 50 + 150 + x + x + 3x = 1000 Combine like terms: 50 + 150 = 200 200 + x + x + 3x = 1000 Combine like terms: x + x = 2x 200 + 2x + 3x = 1000 Combine like terms: 2x + 3x = 5x 200 + 5x = 1000 Solving 200 + 5x = 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 + 5x = 1000 + -200 Combine like terms: 200 + -200 = 0 0 + 5x = 1000 + -200 5x = 1000 + -200 Combine like terms: 1000 + -200 = 800 5x = 800 Divide each side by '5'. x = 160 Simplifying x = 160
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