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Simplifying 0.25x + -0.15(100 + -1X) = 19 0.25x + (100 * -0.15 + -1X * -0.15) = 19 0.25x + (-15 + 0.15X) = 19 Reorder the terms: -15 + 0.15X + 0.25x = 19 Solving -15 + 0.15X + 0.25x = 19 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 0.15X + 15 + 0.25x = 19 + 15 Reorder the terms: -15 + 15 + 0.15X + 0.25x = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 0.15X + 0.25x = 19 + 15 0.15X + 0.25x = 19 + 15 Combine like terms: 19 + 15 = 34 0.15X + 0.25x = 34 Add '-0.25x' to each side of the equation. 0.15X + 0.25x + -0.25x = 34 + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.15X + 0.00 = 34 + -0.25x 0.15X = 34 + -0.25x Divide each side by '0.15'. X = 226.6666667 + -1.666666667x Simplifying X = 226.6666667 + -1.666666667x
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