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Simplifying 0.95x + 0.99(20 + -1x) = 19.4 0.95x + (20 * 0.99 + -1x * 0.99) = 19.4 0.95x + (19.8 + -0.99x) = 19.4 Reorder the terms: 19.8 + 0.95x + -0.99x = 19.4 Combine like terms: 0.95x + -0.99x = -0.04x 19.8 + -0.04x = 19.4 Solving 19.8 + -0.04x = 19.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19.8' to each side of the equation. 19.8 + -19.8 + -0.04x = 19.4 + -19.8 Combine like terms: 19.8 + -19.8 = 0.0 0.0 + -0.04x = 19.4 + -19.8 -0.04x = 19.4 + -19.8 Combine like terms: 19.4 + -19.8 = -0.4 -0.04x = -0.4 Divide each side by '-0.04'. x = 10 Simplifying x = 10
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