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Simplifying 100 = 3x + 2y + 0.5z + -100 Reorder the terms: 100 = -100 + 3x + 2y + 0.5z Solving 100 = -100 + 3x + 2y + 0.5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 100 + -3x = -100 + 3x + 2y + -3x + 0.5z Reorder the terms: 100 + -3x = -100 + 3x + -3x + 2y + 0.5z Combine like terms: 3x + -3x = 0 100 + -3x = -100 + 0 + 2y + 0.5z 100 + -3x = -100 + 2y + 0.5z Add '-100' to each side of the equation. 100 + -100 + -3x = -100 + 2y + -100 + 0.5z Combine like terms: 100 + -100 = 0 0 + -3x = -100 + 2y + -100 + 0.5z -3x = -100 + 2y + -100 + 0.5z Reorder the terms: -3x = -100 + -100 + 2y + 0.5z Combine like terms: -100 + -100 = -200 -3x = -200 + 2y + 0.5z Divide each side by '-3'. x = 66.66666667 + -0.6666666667y + -0.1666666667z Simplifying x = 66.66666667 + -0.6666666667y + -0.1666666667z
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