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Simplifying 7x + -8y + 3 = 5x + -5y + -9 Reorder the terms: 3 + 7x + -8y = 5x + -5y + -9 Reorder the terms: 3 + 7x + -8y = -9 + 5x + -5y Solving 3 + 7x + -8y = -9 + 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. 3 + 7x + -5x + -8y = -9 + 5x + -5x + -5y Combine like terms: 7x + -5x = 2x 3 + 2x + -8y = -9 + 5x + -5x + -5y Combine like terms: 5x + -5x = 0 3 + 2x + -8y = -9 + 0 + -5y 3 + 2x + -8y = -9 + -5y Add '-3' to each side of the equation. 3 + 2x + -3 + -8y = -9 + -3 + -5y Reorder the terms: 3 + -3 + 2x + -8y = -9 + -3 + -5y Combine like terms: 3 + -3 = 0 0 + 2x + -8y = -9 + -3 + -5y 2x + -8y = -9 + -3 + -5y Combine like terms: -9 + -3 = -12 2x + -8y = -12 + -5y Add '8y' to each side of the equation. 2x + -8y + 8y = -12 + -5y + 8y Combine like terms: -8y + 8y = 0 2x + 0 = -12 + -5y + 8y 2x = -12 + -5y + 8y Combine like terms: -5y + 8y = 3y 2x = -12 + 3y Divide each side by '2'. x = -6 + 1.5y Simplifying x = -6 + 1.5y
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