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Simplifying 6x + 51 = 3x + 84 Reorder the terms: 51 + 6x = 3x + 84 Reorder the terms: 51 + 6x = 84 + 3x Solving 51 + 6x = 84 + 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. 51 + 6x + -3x = 84 + 3x + -3x Combine like terms: 6x + -3x = 3x 51 + 3x = 84 + 3x + -3x Combine like terms: 3x + -3x = 0 51 + 3x = 84 + 0 51 + 3x = 84 Add '-51' to each side of the equation. 51 + -51 + 3x = 84 + -51 Combine like terms: 51 + -51 = 0 0 + 3x = 84 + -51 3x = 84 + -51 Combine like terms: 84 + -51 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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