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Simplifying 0.95x + 0.99(18 + -1x) = 17.46 0.95x + (18 * 0.99 + -1x * 0.99) = 17.46 0.95x + (17.82 + -0.99x) = 17.46 Reorder the terms: 17.82 + 0.95x + -0.99x = 17.46 Combine like terms: 0.95x + -0.99x = -0.04x 17.82 + -0.04x = 17.46 Solving 17.82 + -0.04x = 17.46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17.82' to each side of the equation. 17.82 + -17.82 + -0.04x = 17.46 + -17.82 Combine like terms: 17.82 + -17.82 = 0.00 0.00 + -0.04x = 17.46 + -17.82 -0.04x = 17.46 + -17.82 Combine like terms: 17.46 + -17.82 = -0.36 -0.04x = -0.36 Divide each side by '-0.04'. x = 9 Simplifying x = 9
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