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Simplifying 0.90x + 5(6 + -1x) = 0.10(-99) 0.90x + (6 * 5 + -1x * 5) = 0.10(-99) 0.90x + (30 + -5x) = 0.10(-99) Reorder the terms: 30 + 0.90x + -5x = 0.10(-99) Combine like terms: 0.90x + -5x = -4.1x 30 + -4.1x = 0.10(-99) Multiply 0.10 * -99 30 + -4.1x = -9.9 Solving 30 + -4.1x = -9.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -4.1x = -9.9 + -30 Combine like terms: 30 + -30 = 0 0 + -4.1x = -9.9 + -30 -4.1x = -9.9 + -30 Combine like terms: -9.9 + -30 = -39.9 -4.1x = -39.9 Divide each side by '-4.1'. x = 9.731707317 Simplifying x = 9.731707317
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