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Simplifying 3x + 51 = -6x + 27 Reorder the terms: 51 + 3x = -6x + 27 Reorder the terms: 51 + 3x = 27 + -6x Solving 51 + 3x = 27 + -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. 51 + 3x + 6x = 27 + -6x + 6x Combine like terms: 3x + 6x = 9x 51 + 9x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 51 + 9x = 27 + 0 51 + 9x = 27 Add '-51' to each side of the equation. 51 + -51 + 9x = 27 + -51 Combine like terms: 51 + -51 = 0 0 + 9x = 27 + -51 9x = 27 + -51 Combine like terms: 27 + -51 = -24 9x = -24 Divide each side by '9'. x = -2.666666667 Simplifying x = -2.666666667
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