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Simplifying 3x + -6 + 6x = 3x + 106 + -8x Reorder the terms: -6 + 3x + 6x = 3x + 106 + -8x Combine like terms: 3x + 6x = 9x -6 + 9x = 3x + 106 + -8x Reorder the terms: -6 + 9x = 106 + 3x + -8x Combine like terms: 3x + -8x = -5x -6 + 9x = 106 + -5x Solving -6 + 9x = 106 + -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 + 9x + 5x = 106 + -5x + 5x Combine like terms: 9x + 5x = 14x -6 + 14x = 106 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 14x = 106 + 0 -6 + 14x = 106 Add '6' to each side of the equation. -6 + 6 + 14x = 106 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 106 + 6 14x = 106 + 6 Combine like terms: 106 + 6 = 112 14x = 112 Divide each side by '14'. x = 8 Simplifying x = 8
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