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Simplifying 3X + -14 = 4X + 21 + 4X Reorder the terms: -14 + 3X = 4X + 21 + 4X Reorder the terms: -14 + 3X = 21 + 4X + 4X Combine like terms: 4X + 4X = 8X -14 + 3X = 21 + 8X Solving -14 + 3X = 21 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. -14 + 3X + -8X = 21 + 8X + -8X Combine like terms: 3X + -8X = -5X -14 + -5X = 21 + 8X + -8X Combine like terms: 8X + -8X = 0 -14 + -5X = 21 + 0 -14 + -5X = 21 Add '14' to each side of the equation. -14 + 14 + -5X = 21 + 14 Combine like terms: -14 + 14 = 0 0 + -5X = 21 + 14 -5X = 21 + 14 Combine like terms: 21 + 14 = 35 -5X = 35 Divide each side by '-5'. X = -7 Simplifying X = -7
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