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Simplifying 0.6x + -1 = 0.55x + 0.05 Reorder the terms: -1 + 0.6x = 0.55x + 0.05 Reorder the terms: -1 + 0.6x = 0.05 + 0.55x Solving -1 + 0.6x = 0.05 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. -1 + 0.6x + -0.55x = 0.05 + 0.55x + -0.55x Combine like terms: 0.6x + -0.55x = 0.05x -1 + 0.05x = 0.05 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 -1 + 0.05x = 0.05 + 0.00 -1 + 0.05x = 0.05 Add '1' to each side of the equation. -1 + 1 + 0.05x = 0.05 + 1 Combine like terms: -1 + 1 = 0 0 + 0.05x = 0.05 + 1 0.05x = 0.05 + 1 Combine like terms: 0.05 + 1 = 1.05 0.05x = 1.05 Divide each side by '0.05'. x = 21 Simplifying x = 21
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