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Simplifying 0.5(x + -1(180 + -1x)) = 50 0.5(x + (180 * -1 + -1x * -1)) = 50 0.5(x + (-180 + 1x)) = 50 Reorder the terms: 0.5(-180 + x + 1x) = 50 Combine like terms: x + 1x = 2x 0.5(-180 + 2x) = 50 (-180 * 0.5 + 2x * 0.5) = 50 (-90 + 1x) = 50 Solving -90 + 1x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 1x = 50 + 90 Combine like terms: -90 + 90 = 0 0 + 1x = 50 + 90 1x = 50 + 90 Combine like terms: 50 + 90 = 140 1x = 140 Divide each side by '1'. x = 140 Simplifying x = 140
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