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Simplifying 2x + 2(x + -50) = 1580 Reorder the terms: 2x + 2(-50 + x) = 1580 2x + (-50 * 2 + x * 2) = 1580 2x + (-100 + 2x) = 1580 Reorder the terms: -100 + 2x + 2x = 1580 Combine like terms: 2x + 2x = 4x -100 + 4x = 1580 Solving -100 + 4x = 1580 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 4x = 1580 + 100 Combine like terms: -100 + 100 = 0 0 + 4x = 1580 + 100 4x = 1580 + 100 Combine like terms: 1580 + 100 = 1680 4x = 1680 Divide each side by '4'. x = 420 Simplifying x = 420
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