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Simplifying 0.89x + 0.93(20 + -1x) = 18.2 0.89x + (20 * 0.93 + -1x * 0.93) = 18.2 0.89x + (18.6 + -0.93x) = 18.2 Reorder the terms: 18.6 + 0.89x + -0.93x = 18.2 Combine like terms: 0.89x + -0.93x = -0.04x 18.6 + -0.04x = 18.2 Solving 18.6 + -0.04x = 18.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18.6' to each side of the equation. 18.6 + -18.6 + -0.04x = 18.2 + -18.6 Combine like terms: 18.6 + -18.6 = 0.0 0.0 + -0.04x = 18.2 + -18.6 -0.04x = 18.2 + -18.6 Combine like terms: 18.2 + -18.6 = -0.4 -0.04x = -0.4 Divide each side by '-0.04'. x = 10 Simplifying x = 10
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