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Simplifying 0.20(15X + -20) = 0.25(16X + -12) Reorder the terms: 0.20(-20 + 15X) = 0.25(16X + -12) (-20 * 0.20 + 15X * 0.20) = 0.25(16X + -12) (-4 + 3X) = 0.25(16X + -12) Reorder the terms: -4 + 3X = 0.25(-12 + 16X) -4 + 3X = (-12 * 0.25 + 16X * 0.25) -4 + 3X = (-3 + 4X) Solving -4 + 3X = -3 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. -4 + 3X + -4X = -3 + 4X + -4X Combine like terms: 3X + -4X = -1X -4 + -1X = -3 + 4X + -4X Combine like terms: 4X + -4X = 0 -4 + -1X = -3 + 0 -4 + -1X = -3 Add '4' to each side of the equation. -4 + 4 + -1X = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -1X = -3 + 4 -1X = -3 + 4 Combine like terms: -3 + 4 = 1 -1X = 1 Divide each side by '-1'. X = -1 Simplifying X = -1
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