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Simplifying 1.65x + 0.10(110 + -1x) = 2.05x 1.65x + (110 * 0.10 + -1x * 0.10) = 2.05x 1.65x + (11 + -0.1x) = 2.05x Reorder the terms: 11 + 1.65x + -0.1x = 2.05x Combine like terms: 1.65x + -0.1x = 1.55x 11 + 1.55x = 2.05x Solving 11 + 1.55x = 2.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.05x' to each side of the equation. 11 + 1.55x + -2.05x = 2.05x + -2.05x Combine like terms: 1.55x + -2.05x = -0.5x 11 + -0.5x = 2.05x + -2.05x Combine like terms: 2.05x + -2.05x = 0.00 11 + -0.5x = 0.00 Add '-11' to each side of the equation. 11 + -11 + -0.5x = 0.00 + -11 Combine like terms: 11 + -11 = 0 0 + -0.5x = 0.00 + -11 -0.5x = 0.00 + -11 Combine like terms: 0.00 + -11 = -11 -0.5x = -11 Divide each side by '-0.5'. x = 22 Simplifying x = 22
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