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Simplifying 0.1x + -24X + 0.4x + -49 = 0 Reorder the terms: -49 + -24X + 0.1x + 0.4x = 0 Combine like terms: 0.1x + 0.4x = 0.5x -49 + -24X + 0.5x = 0 Solving -49 + -24X + 0.5x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '49' to each side of the equation. -49 + -24X + 49 + 0.5x = 0 + 49 Reorder the terms: -49 + 49 + -24X + 0.5x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -24X + 0.5x = 0 + 49 -24X + 0.5x = 0 + 49 Combine like terms: 0 + 49 = 49 -24X + 0.5x = 49 Add '-0.5x' to each side of the equation. -24X + 0.5x + -0.5x = 49 + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -24X + 0.0 = 49 + -0.5x -24X = 49 + -0.5x Divide each side by '-24'. X = -2.041666667 + 0.02083333333x Simplifying X = -2.041666667 + 0.02083333333x
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