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Simplifying 0.20(15X + -20) = 0.20(16X + -12) Reorder the terms: 0.20(-20 + 15X) = 0.20(16X + -12) (-20 * 0.20 + 15X * 0.20) = 0.20(16X + -12) (-4 + 3X) = 0.20(16X + -12) Reorder the terms: -4 + 3X = 0.20(-12 + 16X) -4 + 3X = (-12 * 0.20 + 16X * 0.20) -4 + 3X = (-2.4 + 3.2X) Solving -4 + 3X = -2.4 + 3.2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3.2X' to each side of the equation. -4 + 3X + -3.2X = -2.4 + 3.2X + -3.2X Combine like terms: 3X + -3.2X = -0.2X -4 + -0.2X = -2.4 + 3.2X + -3.2X Combine like terms: 3.2X + -3.2X = 0.0 -4 + -0.2X = -2.4 + 0.0 -4 + -0.2X = -2.4 Add '4' to each side of the equation. -4 + 4 + -0.2X = -2.4 + 4 Combine like terms: -4 + 4 = 0 0 + -0.2X = -2.4 + 4 -0.2X = -2.4 + 4 Combine like terms: -2.4 + 4 = 1.6 -0.2X = 1.6 Divide each side by '-0.2'. X = -8 Simplifying X = -8
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