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Simplifying 2y + -7x + -10 = x + -5y + -8 Reorder the terms: -10 + -7x + 2y = x + -5y + -8 Reorder the terms: -10 + -7x + 2y = -8 + x + -5y Solving -10 + -7x + 2y = -8 + x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -7x + -1x + 2y = -8 + x + -1x + -5y Combine like terms: -7x + -1x = -8x -10 + -8x + 2y = -8 + x + -1x + -5y Combine like terms: x + -1x = 0 -10 + -8x + 2y = -8 + 0 + -5y -10 + -8x + 2y = -8 + -5y Add '10' to each side of the equation. -10 + -8x + 10 + 2y = -8 + 10 + -5y Reorder the terms: -10 + 10 + -8x + 2y = -8 + 10 + -5y Combine like terms: -10 + 10 = 0 0 + -8x + 2y = -8 + 10 + -5y -8x + 2y = -8 + 10 + -5y Combine like terms: -8 + 10 = 2 -8x + 2y = 2 + -5y Add '-2y' to each side of the equation. -8x + 2y + -2y = 2 + -5y + -2y Combine like terms: 2y + -2y = 0 -8x + 0 = 2 + -5y + -2y -8x = 2 + -5y + -2y Combine like terms: -5y + -2y = -7y -8x = 2 + -7y Divide each side by '-8'. x = -0.25 + 0.875y Simplifying x = -0.25 + 0.875y
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