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Simplifying -3x + 51 = 8y + -6x Reorder the terms: 51 + -3x = 8y + -6x Reorder the terms: 51 + -3x = -6x + 8y Solving 51 + -3x = -6x + 8y 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 = -6x + 6x + 8y Combine like terms: -3x + 6x = 3x 51 + 3x = -6x + 6x + 8y Combine like terms: -6x + 6x = 0 51 + 3x = 0 + 8y 51 + 3x = 8y Add '-51' to each side of the equation. 51 + -51 + 3x = -51 + 8y Combine like terms: 51 + -51 = 0 0 + 3x = -51 + 8y 3x = -51 + 8y Divide each side by '3'. x = -17 + 2.666666667y Simplifying x = -17 + 2.666666667y
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