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Simplifying 0.05x * 10 + 200 = 0.3x * 10 Reorder the terms for easier multiplication: 0.05 * 10x + 200 = 0.3x * 10 Multiply 0.05 * 10 0.5x + 200 = 0.3x * 10 Reorder the terms: 200 + 0.5x = 0.3x * 10 Reorder the terms for easier multiplication: 200 + 0.5x = 0.3 * 10x Multiply 0.3 * 10 200 + 0.5x = 3x Solving 200 + 0.5x = 3x 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. 200 + 0.5x + -3x = 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 200 + -2.5x = 3x + -3x Combine like terms: 3x + -3x = 0 200 + -2.5x = 0 Add '-200' to each side of the equation. 200 + -200 + -2.5x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -2.5x = 0 + -200 -2.5x = 0 + -200 Combine like terms: 0 + -200 = -200 -2.5x = -200 Divide each side by '-2.5'. x = 80 Simplifying x = 80
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