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Simplifying 5y + -3x + 6 + -7y = 7y + -9 Reorder the terms: 6 + -3x + 5y + -7y = 7y + -9 Combine like terms: 5y + -7y = -2y 6 + -3x + -2y = 7y + -9 Reorder the terms: 6 + -3x + -2y = -9 + 7y Solving 6 + -3x + -2y = -9 + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3x + -6 + -2y = -9 + -6 + 7y Reorder the terms: 6 + -6 + -3x + -2y = -9 + -6 + 7y Combine like terms: 6 + -6 = 0 0 + -3x + -2y = -9 + -6 + 7y -3x + -2y = -9 + -6 + 7y Combine like terms: -9 + -6 = -15 -3x + -2y = -15 + 7y Add '2y' to each side of the equation. -3x + -2y + 2y = -15 + 7y + 2y Combine like terms: -2y + 2y = 0 -3x + 0 = -15 + 7y + 2y -3x = -15 + 7y + 2y Combine like terms: 7y + 2y = 9y -3x = -15 + 9y Divide each side by '-3'. x = 5 + -3y Simplifying x = 5 + -3y
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