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Simplifying 0.05x + 10 = 0.10x + 5.30 Reorder the terms: 10 + 0.05x = 0.10x + 5.30 Reorder the terms: 10 + 0.05x = 5.30 + 0.10x Solving 10 + 0.05x = 5.30 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 10 + 0.05x + -0.10x = 5.30 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 10 + -0.05x = 5.30 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 10 + -0.05x = 5.30 + 0.00 10 + -0.05x = 5.30 Add '-10' to each side of the equation. 10 + -10 + -0.05x = 5.30 + -10 Combine like terms: 10 + -10 = 0 0 + -0.05x = 5.30 + -10 -0.05x = 5.30 + -10 Combine like terms: 5.30 + -10 = -4.7 -0.05x = -4.7 Divide each side by '-0.05'. x = 94 Simplifying x = 94
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