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Simplifying 0.5X + -5 = 4X + 2(X + -4) Reorder the terms: -5 + 0.5X = 4X + 2(X + -4) Reorder the terms: -5 + 0.5X = 4X + 2(-4 + X) -5 + 0.5X = 4X + (-4 * 2 + X * 2) -5 + 0.5X = 4X + (-8 + 2X) Reorder the terms: -5 + 0.5X = -8 + 4X + 2X Combine like terms: 4X + 2X = 6X -5 + 0.5X = -8 + 6X Solving -5 + 0.5X = -8 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -5 + 0.5X + -6X = -8 + 6X + -6X Combine like terms: 0.5X + -6X = -5.5X -5 + -5.5X = -8 + 6X + -6X Combine like terms: 6X + -6X = 0 -5 + -5.5X = -8 + 0 -5 + -5.5X = -8 Add '5' to each side of the equation. -5 + 5 + -5.5X = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -5.5X = -8 + 5 -5.5X = -8 + 5 Combine like terms: -8 + 5 = -3 -5.5X = -3 Divide each side by '-5.5'. X = 0.5454545455 Simplifying X = 0.5454545455
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