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Simplifying 6x + -21 = 51 + -2x Reorder the terms: -21 + 6x = 51 + -2x Solving -21 + 6x = 51 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -21 + 6x + 2x = 51 + -2x + 2x Combine like terms: 6x + 2x = 8x -21 + 8x = 51 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 8x = 51 + 0 -21 + 8x = 51 Add '21' to each side of the equation. -21 + 21 + 8x = 51 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 51 + 21 8x = 51 + 21 Combine like terms: 51 + 21 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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