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Simplifying 0.25[2.5 + 1.5(X + -4)] = -1X Reorder the terms: 0.25[2.5 + 1.5(-4 + X)] = -1X 0.25[2.5 + (-4 * 1.5 + X * 1.5)] = -1X 0.25[2.5 + (-6 + 1.5X)] = -1X Combine like terms: 2.5 + -6 = -3.5 0.25[-3.5 + 1.5X] = -1X [-3.5 * 0.25 + 1.5X * 0.25] = -1X [-0.875 + 0.375X] = -1X Solving -0.875 + 0.375X = -1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. -0.875 + 0.375X + X = -1X + X Combine like terms: 0.375X + X = 1.375X -0.875 + 1.375X = -1X + X Combine like terms: -1X + X = 0 -0.875 + 1.375X = 0 Add '0.875' to each side of the equation. -0.875 + 0.875 + 1.375X = 0 + 0.875 Combine like terms: -0.875 + 0.875 = 0.000 0.000 + 1.375X = 0 + 0.875 1.375X = 0 + 0.875 Combine like terms: 0 + 0.875 = 0.875 1.375X = 0.875 Divide each side by '1.375'. X = 0.6363636364 Simplifying X = 0.6363636364
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