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Simplifying 0.4(X + -2) = 0.25X + 4 Reorder the terms: 0.4(-2 + X) = 0.25X + 4 (-2 * 0.4 + X * 0.4) = 0.25X + 4 (-0.8 + 0.4X) = 0.25X + 4 Reorder the terms: -0.8 + 0.4X = 4 + 0.25X Solving -0.8 + 0.4X = 4 + 0.25X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.25X' to each side of the equation. -0.8 + 0.4X + -0.25X = 4 + 0.25X + -0.25X Combine like terms: 0.4X + -0.25X = 0.15X -0.8 + 0.15X = 4 + 0.25X + -0.25X Combine like terms: 0.25X + -0.25X = 0.00 -0.8 + 0.15X = 4 + 0.00 -0.8 + 0.15X = 4 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.15X = 4 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.15X = 4 + 0.8 0.15X = 4 + 0.8 Combine like terms: 4 + 0.8 = 4.8 0.15X = 4.8 Divide each side by '0.15'. X = 32 Simplifying X = 32
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