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Simplifying 6x + 21 = -2x + 51 Reorder the terms: 21 + 6x = -2x + 51 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 = 30 8x = 30 Divide each side by '8'. x = 3.75 Simplifying x = 3.75
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