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Simplifying 5x + -6 + -3x = 3x + -8 + 2x + 14 Reorder the terms: -6 + 5x + -3x = 3x + -8 + 2x + 14 Combine like terms: 5x + -3x = 2x -6 + 2x = 3x + -8 + 2x + 14 Reorder the terms: -6 + 2x = -8 + 14 + 3x + 2x Combine like terms: -8 + 14 = 6 -6 + 2x = 6 + 3x + 2x Combine like terms: 3x + 2x = 5x -6 + 2x = 6 + 5x Solving -6 + 2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 2x + -5x = 6 + 5x + -5x Combine like terms: 2x + -5x = -3x -6 + -3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -3x = 6 + 0 -6 + -3x = 6 Add '6' to each side of the equation. -6 + 6 + -3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 6 + 6 -3x = 6 + 6 Combine like terms: 6 + 6 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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