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Simplifying 0.05x + 10 = 0.25x + 54 Reorder the terms: 10 + 0.05x = 0.25x + 54 Reorder the terms: 10 + 0.05x = 54 + 0.25x Solving 10 + 0.05x = 54 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 10 + 0.05x + -0.25x = 54 + 0.25x + -0.25x Combine like terms: 0.05x + -0.25x = -0.2x 10 + -0.2x = 54 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 10 + -0.2x = 54 + 0.00 10 + -0.2x = 54 Add '-10' to each side of the equation. 10 + -10 + -0.2x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + -0.2x = 54 + -10 -0.2x = 54 + -10 Combine like terms: 54 + -10 = 44 -0.2x = 44 Divide each side by '-0.2'. x = -220 Simplifying x = -220
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