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Simplifying 8x + -7y + 2 = 5x + -5y + -6 Reorder the terms: 2 + 8x + -7y = 5x + -5y + -6 Reorder the terms: 2 + 8x + -7y = -6 + 5x + -5y Solving 2 + 8x + -7y = -6 + 5x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 8x + -5x + -7y = -6 + 5x + -5x + -5y Combine like terms: 8x + -5x = 3x 2 + 3x + -7y = -6 + 5x + -5x + -5y Combine like terms: 5x + -5x = 0 2 + 3x + -7y = -6 + 0 + -5y 2 + 3x + -7y = -6 + -5y Add '-2' to each side of the equation. 2 + 3x + -2 + -7y = -6 + -2 + -5y Reorder the terms: 2 + -2 + 3x + -7y = -6 + -2 + -5y Combine like terms: 2 + -2 = 0 0 + 3x + -7y = -6 + -2 + -5y 3x + -7y = -6 + -2 + -5y Combine like terms: -6 + -2 = -8 3x + -7y = -8 + -5y Add '7y' to each side of the equation. 3x + -7y + 7y = -8 + -5y + 7y Combine like terms: -7y + 7y = 0 3x + 0 = -8 + -5y + 7y 3x = -8 + -5y + 7y Combine like terms: -5y + 7y = 2y 3x = -8 + 2y Divide each side by '3'. x = -2.666666667 + 0.6666666667y Simplifying x = -2.666666667 + 0.6666666667y
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