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Simplifying 3y + -6x + 2 = 7y + -1x + -6 Reorder the terms: 2 + -6x + 3y = 7y + -1x + -6 Reorder the terms: 2 + -6x + 3y = -6 + -1x + 7y Solving 2 + -6x + 3y = -6 + -1x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -6x + x + 3y = -6 + -1x + x + 7y Combine like terms: -6x + x = -5x 2 + -5x + 3y = -6 + -1x + x + 7y Combine like terms: -1x + x = 0 2 + -5x + 3y = -6 + 0 + 7y 2 + -5x + 3y = -6 + 7y Add '-2' to each side of the equation. 2 + -5x + -2 + 3y = -6 + -2 + 7y Reorder the terms: 2 + -2 + -5x + 3y = -6 + -2 + 7y Combine like terms: 2 + -2 = 0 0 + -5x + 3y = -6 + -2 + 7y -5x + 3y = -6 + -2 + 7y Combine like terms: -6 + -2 = -8 -5x + 3y = -8 + 7y Add '-3y' to each side of the equation. -5x + 3y + -3y = -8 + 7y + -3y Combine like terms: 3y + -3y = 0 -5x + 0 = -8 + 7y + -3y -5x = -8 + 7y + -3y Combine like terms: 7y + -3y = 4y -5x = -8 + 4y Divide each side by '-5'. x = 1.6 + -0.8y Simplifying x = 1.6 + -0.8y
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