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Simplifying 3x + -14 + 2x = -12 + 8x + 7 Reorder the terms: -14 + 3x + 2x = -12 + 8x + 7 Combine like terms: 3x + 2x = 5x -14 + 5x = -12 + 8x + 7 Reorder the terms: -14 + 5x = -12 + 7 + 8x Combine like terms: -12 + 7 = -5 -14 + 5x = -5 + 8x Solving -14 + 5x = -5 + 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 + 5x + -8x = -5 + 8x + -8x Combine like terms: 5x + -8x = -3x -14 + -3x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + -3x = -5 + 0 -14 + -3x = -5 Add '14' to each side of the equation. -14 + 14 + -3x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -5 + 14 -3x = -5 + 14 Combine like terms: -5 + 14 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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