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Simplifying 0.25x + 0.3(19 + -1x) = 5.10 0.25x + (19 * 0.3 + -1x * 0.3) = 5.10 0.25x + (5.7 + -0.3x) = 5.10 Reorder the terms: 5.7 + 0.25x + -0.3x = 5.10 Combine like terms: 0.25x + -0.3x = -0.05x 5.7 + -0.05x = 5.10 Solving 5.7 + -0.05x = 5.10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.7' to each side of the equation. 5.7 + -5.7 + -0.05x = 5.10 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + -0.05x = 5.10 + -5.7 -0.05x = 5.10 + -5.7 Combine like terms: 5.10 + -5.7 = -0.6 -0.05x = -0.6 Divide each side by '-0.05'. x = 12 Simplifying x = 12
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