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Simplifying 5x + 4 + -6 = 6 + 3x + 8 Reorder the terms: 4 + -6 + 5x = 6 + 3x + 8 Combine like terms: 4 + -6 = -2 -2 + 5x = 6 + 3x + 8 Reorder the terms: -2 + 5x = 6 + 8 + 3x Combine like terms: 6 + 8 = 14 -2 + 5x = 14 + 3x Solving -2 + 5x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 5x + -3x = 14 + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = 14 + 0 -2 + 2x = 14 Add '2' to each side of the equation. -2 + 2 + 2x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 14 + 2 2x = 14 + 2 Combine like terms: 14 + 2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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