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Simplifying 6x + -4 + 2x = 3x + -5 + 21 Reorder the terms: -4 + 6x + 2x = 3x + -5 + 21 Combine like terms: 6x + 2x = 8x -4 + 8x = 3x + -5 + 21 Reorder the terms: -4 + 8x = -5 + 21 + 3x Combine like terms: -5 + 21 = 16 -4 + 8x = 16 + 3x Solving -4 + 8x = 16 + 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. -4 + 8x + -3x = 16 + 3x + -3x Combine like terms: 8x + -3x = 5x -4 + 5x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 5x = 16 + 0 -4 + 5x = 16 Add '4' to each side of the equation. -4 + 4 + 5x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 16 + 4 5x = 16 + 4 Combine like terms: 16 + 4 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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