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Simplifying 0.3x + -0.05(x + -20) = 51 Reorder the terms: 0.3x + -0.05(-20 + x) = 51 0.3x + (-20 * -0.05 + x * -0.05) = 51 0.3x + (1 + -0.05x) = 51 Reorder the terms: 1 + 0.3x + -0.05x = 51 Combine like terms: 0.3x + -0.05x = 0.25x 1 + 0.25x = 51 Solving 1 + 0.25x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.25x = 51 + -1 Combine like terms: 1 + -1 = 0 0 + 0.25x = 51 + -1 0.25x = 51 + -1 Combine like terms: 51 + -1 = 50 0.25x = 50 Divide each side by '0.25'. x = 200 Simplifying x = 200
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