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Simplifying 3x + -21 + 5x = 16 + 6x + -11 Reorder the terms: -21 + 3x + 5x = 16 + 6x + -11 Combine like terms: 3x + 5x = 8x -21 + 8x = 16 + 6x + -11 Reorder the terms: -21 + 8x = 16 + -11 + 6x Combine like terms: 16 + -11 = 5 -21 + 8x = 5 + 6x Solving -21 + 8x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + 8x + -6x = 5 + 6x + -6x Combine like terms: 8x + -6x = 2x -21 + 2x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 2x = 5 + 0 -21 + 2x = 5 Add '21' to each side of the equation. -21 + 21 + 2x = 5 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 5 + 21 2x = 5 + 21 Combine like terms: 5 + 21 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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