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Simplifying 5y + 5x + -9 = 4y + 7x + -8 Reorder the terms: -9 + 5x + 5y = 4y + 7x + -8 Reorder the terms: -9 + 5x + 5y = -8 + 7x + 4y Solving -9 + 5x + 5y = -8 + 7x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 5x + -7x + 5y = -8 + 7x + -7x + 4y Combine like terms: 5x + -7x = -2x -9 + -2x + 5y = -8 + 7x + -7x + 4y Combine like terms: 7x + -7x = 0 -9 + -2x + 5y = -8 + 0 + 4y -9 + -2x + 5y = -8 + 4y Add '9' to each side of the equation. -9 + -2x + 9 + 5y = -8 + 9 + 4y Reorder the terms: -9 + 9 + -2x + 5y = -8 + 9 + 4y Combine like terms: -9 + 9 = 0 0 + -2x + 5y = -8 + 9 + 4y -2x + 5y = -8 + 9 + 4y Combine like terms: -8 + 9 = 1 -2x + 5y = 1 + 4y Add '-5y' to each side of the equation. -2x + 5y + -5y = 1 + 4y + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = 1 + 4y + -5y -2x = 1 + 4y + -5y Combine like terms: 4y + -5y = -1y -2x = 1 + -1y Divide each side by '-2'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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