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Simplifying 6x + -4 = 3x + 9 + 2x + 8 Reorder the terms: -4 + 6x = 3x + 9 + 2x + 8 Reorder the terms: -4 + 6x = 9 + 8 + 3x + 2x Combine like terms: 9 + 8 = 17 -4 + 6x = 17 + 3x + 2x Combine like terms: 3x + 2x = 5x -4 + 6x = 17 + 5x Solving -4 + 6x = 17 + 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. -4 + 6x + -5x = 17 + 5x + -5x Combine like terms: 6x + -5x = 1x -4 + 1x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 1x = 17 + 0 -4 + 1x = 17 Add '4' to each side of the equation. -4 + 4 + 1x = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 17 + 4 1x = 17 + 4 Combine like terms: 17 + 4 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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