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Simplifying 100 = 4x + 2y + 0.5z Solving 100 = 4x + 2y + 0.5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 100 + -4x = 4x + 2y + -4x + 0.5z Reorder the terms: 100 + -4x = 4x + -4x + 2y + 0.5z Combine like terms: 4x + -4x = 0 100 + -4x = 0 + 2y + 0.5z 100 + -4x = 2y + 0.5z Add '-100' to each side of the equation. 100 + -100 + -4x = 2y + -100 + 0.5z Combine like terms: 100 + -100 = 0 0 + -4x = 2y + -100 + 0.5z -4x = 2y + -100 + 0.5z Reorder the terms: -4x = -100 + 2y + 0.5z Divide each side by '-4'. x = 25 + -0.5y + -0.125z Simplifying x = 25 + -0.5y + -0.125z
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