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Simplifying 0.33x + 0.49(18 + -1x) = 6.90 0.33x + (18 * 0.49 + -1x * 0.49) = 6.90 0.33x + (8.82 + -0.49x) = 6.90 Reorder the terms: 8.82 + 0.33x + -0.49x = 6.90 Combine like terms: 0.33x + -0.49x = -0.16x 8.82 + -0.16x = 6.90 Solving 8.82 + -0.16x = 6.90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.82' to each side of the equation. 8.82 + -8.82 + -0.16x = 6.90 + -8.82 Combine like terms: 8.82 + -8.82 = 0.00 0.00 + -0.16x = 6.90 + -8.82 -0.16x = 6.90 + -8.82 Combine like terms: 6.90 + -8.82 = -1.92 -0.16x = -1.92 Divide each side by '-0.16'. x = 12 Simplifying x = 12
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