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Simplifying 0.80(25x + -15) = 50x + 38 Reorder the terms: 0.80(-15 + 25x) = 50x + 38 (-15 * 0.80 + 25x * 0.80) = 50x + 38 (-12 + 20x) = 50x + 38 Reorder the terms: -12 + 20x = 38 + 50x Solving -12 + 20x = 38 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -12 + 20x + -50x = 38 + 50x + -50x Combine like terms: 20x + -50x = -30x -12 + -30x = 38 + 50x + -50x Combine like terms: 50x + -50x = 0 -12 + -30x = 38 + 0 -12 + -30x = 38 Add '12' to each side of the equation. -12 + 12 + -30x = 38 + 12 Combine like terms: -12 + 12 = 0 0 + -30x = 38 + 12 -30x = 38 + 12 Combine like terms: 38 + 12 = 50 -30x = 50 Divide each side by '-30'. x = -1.666666667 Simplifying x = -1.666666667
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