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Simplifying 38.34 = 100x + 0.50 Reorder the terms: 38.34 = 0.50 + 100x Solving 38.34 = 0.50 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 38.34 + -100x = 0.50 + 100x + -100x Combine like terms: 100x + -100x = 0 38.34 + -100x = 0.50 + 0 38.34 + -100x = 0.50 Add '-38.34' to each side of the equation. 38.34 + -38.34 + -100x = 0.50 + -38.34 Combine like terms: 38.34 + -38.34 = 0.00 0.00 + -100x = 0.50 + -38.34 -100x = 0.50 + -38.34 Combine like terms: 0.50 + -38.34 = -37.84 -100x = -37.84 Divide each side by '-100'. x = 0.3784 Simplifying x = 0.3784
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