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Simplifying 0.90x + 0.52(2 + -1x) = 0.10(-118) 0.90x + (2 * 0.52 + -1x * 0.52) = 0.10(-118) 0.90x + (1.04 + -0.52x) = 0.10(-118) Reorder the terms: 1.04 + 0.90x + -0.52x = 0.10(-118) Combine like terms: 0.90x + -0.52x = 0.38x 1.04 + 0.38x = 0.10(-118) Multiply 0.10 * -118 1.04 + 0.38x = -11.8 Solving 1.04 + 0.38x = -11.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.04' to each side of the equation. 1.04 + -1.04 + 0.38x = -11.8 + -1.04 Combine like terms: 1.04 + -1.04 = 0.00 0.00 + 0.38x = -11.8 + -1.04 0.38x = -11.8 + -1.04 Combine like terms: -11.8 + -1.04 = -12.84 0.38x = -12.84 Divide each side by '0.38'. x = -33.78947368 Simplifying x = -33.78947368
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