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Simplifying 7x + -6y + 2 = 4x + -4y + -6 Reorder the terms: 2 + 7x + -6y = 4x + -4y + -6 Reorder the terms: 2 + 7x + -6y = -6 + 4x + -4y Solving 2 + 7x + -6y = -6 + 4x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 7x + -4x + -6y = -6 + 4x + -4x + -4y Combine like terms: 7x + -4x = 3x 2 + 3x + -6y = -6 + 4x + -4x + -4y Combine like terms: 4x + -4x = 0 2 + 3x + -6y = -6 + 0 + -4y 2 + 3x + -6y = -6 + -4y Add '-2' to each side of the equation. 2 + 3x + -2 + -6y = -6 + -2 + -4y Reorder the terms: 2 + -2 + 3x + -6y = -6 + -2 + -4y Combine like terms: 2 + -2 = 0 0 + 3x + -6y = -6 + -2 + -4y 3x + -6y = -6 + -2 + -4y Combine like terms: -6 + -2 = -8 3x + -6y = -8 + -4y Add '6y' to each side of the equation. 3x + -6y + 6y = -8 + -4y + 6y Combine like terms: -6y + 6y = 0 3x + 0 = -8 + -4y + 6y 3x = -8 + -4y + 6y Combine like terms: -4y + 6y = 2y 3x = -8 + 2y Divide each side by '3'. x = -2.666666667 + 0.6666666667y Simplifying x = -2.666666667 + 0.6666666667y
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