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Simplifying 6x + 6y + 7 = 8x + 9y + 7 Reorder the terms: 7 + 6x + 6y = 8x + 9y + 7 Reorder the terms: 7 + 6x + 6y = 7 + 8x + 9y Add '-7' to each side of the equation. 7 + 6x + -7 + 6y = 7 + 8x + -7 + 9y Reorder the terms: 7 + -7 + 6x + 6y = 7 + 8x + -7 + 9y Combine like terms: 7 + -7 = 0 0 + 6x + 6y = 7 + 8x + -7 + 9y 6x + 6y = 7 + 8x + -7 + 9y Reorder the terms: 6x + 6y = 7 + -7 + 8x + 9y Combine like terms: 7 + -7 = 0 6x + 6y = 0 + 8x + 9y 6x + 6y = 8x + 9y Solving 6x + 6y = 8x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6x + -8x + 6y = 8x + -8x + 9y Combine like terms: 6x + -8x = -2x -2x + 6y = 8x + -8x + 9y Combine like terms: 8x + -8x = 0 -2x + 6y = 0 + 9y -2x + 6y = 9y Add '-6y' to each side of the equation. -2x + 6y + -6y = 9y + -6y Combine like terms: 6y + -6y = 0 -2x + 0 = 9y + -6y -2x = 9y + -6y Combine like terms: 9y + -6y = 3y -2x = 3y Divide each side by '-2'. x = -1.5y Simplifying x = -1.5y
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