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Simplifying 3X + -2 + 0.5X + X = 21 + -2 + X Reorder the terms: -2 + 3X + 0.5X + X = 21 + -2 + X Combine like terms: 3X + 0.5X = 3.5X -2 + 3.5X + X = 21 + -2 + X Combine like terms: 3.5X + X = 4.5X -2 + 4.5X = 21 + -2 + X Combine like terms: 21 + -2 = 19 -2 + 4.5X = 19 + X Solving -2 + 4.5X = 19 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -2 + 4.5X + -1X = 19 + X + -1X Combine like terms: 4.5X + -1X = 3.5X -2 + 3.5X = 19 + X + -1X Combine like terms: X + -1X = 0 -2 + 3.5X = 19 + 0 -2 + 3.5X = 19 Add '2' to each side of the equation. -2 + 2 + 3.5X = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 3.5X = 19 + 2 3.5X = 19 + 2 Combine like terms: 19 + 2 = 21 3.5X = 21 Divide each side by '3.5'. X = 6 Simplifying X = 6
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