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Simplifying 0.09x + 0.03(x + -204) = 0 Reorder the terms: 0.09x + 0.03(-204 + x) = 0 0.09x + (-204 * 0.03 + x * 0.03) = 0 0.09x + (-6.12 + 0.03x) = 0 Reorder the terms: -6.12 + 0.09x + 0.03x = 0 Combine like terms: 0.09x + 0.03x = 0.12x -6.12 + 0.12x = 0 Solving -6.12 + 0.12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.12' to each side of the equation. -6.12 + 6.12 + 0.12x = 0 + 6.12 Combine like terms: -6.12 + 6.12 = 0.00 0.00 + 0.12x = 0 + 6.12 0.12x = 0 + 6.12 Combine like terms: 0 + 6.12 = 6.12 0.12x = 6.12 Divide each side by '0.12'. x = 51 Simplifying x = 51
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