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Simplifying 3x + -14 = -4x + 10 + -5x Reorder the terms: -14 + 3x = -4x + 10 + -5x Reorder the terms: -14 + 3x = 10 + -4x + -5x Combine like terms: -4x + -5x = -9x -14 + 3x = 10 + -9x Solving -14 + 3x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -14 + 3x + 9x = 10 + -9x + 9x Combine like terms: 3x + 9x = 12x -14 + 12x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 12x = 10 + 0 -14 + 12x = 10 Add '14' to each side of the equation. -14 + 14 + 12x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 10 + 14 12x = 10 + 14 Combine like terms: 10 + 14 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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