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Simplifying 3X + -4x + -2 = 7X + -14 + -9x Reorder the terms: -2 + 3X + -4x = 7X + -14 + -9x Reorder the terms: -2 + 3X + -4x = -14 + 7X + -9x Solving -2 + 3X + -4x = -14 + 7X + -9x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -2 + 3X + -7X + -4x = -14 + 7X + -7X + -9x Combine like terms: 3X + -7X = -4X -2 + -4X + -4x = -14 + 7X + -7X + -9x Combine like terms: 7X + -7X = 0 -2 + -4X + -4x = -14 + 0 + -9x -2 + -4X + -4x = -14 + -9x Add '2' to each side of the equation. -2 + -4X + 2 + -4x = -14 + 2 + -9x Reorder the terms: -2 + 2 + -4X + -4x = -14 + 2 + -9x Combine like terms: -2 + 2 = 0 0 + -4X + -4x = -14 + 2 + -9x -4X + -4x = -14 + 2 + -9x Combine like terms: -14 + 2 = -12 -4X + -4x = -12 + -9x Add '4x' to each side of the equation. -4X + -4x + 4x = -12 + -9x + 4x Combine like terms: -4x + 4x = 0 -4X + 0 = -12 + -9x + 4x -4X = -12 + -9x + 4x Combine like terms: -9x + 4x = -5x -4X = -12 + -5x Divide each side by '-4'. X = 3 + 1.25x Simplifying X = 3 + 1.25x
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