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Simplifying 6y + -4x + -1 = 7y + -2x + -4 Reorder the terms: -1 + -4x + 6y = 7y + -2x + -4 Reorder the terms: -1 + -4x + 6y = -4 + -2x + 7y Solving -1 + -4x + 6y = -4 + -2x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + -4x + 2x + 6y = -4 + -2x + 2x + 7y Combine like terms: -4x + 2x = -2x -1 + -2x + 6y = -4 + -2x + 2x + 7y Combine like terms: -2x + 2x = 0 -1 + -2x + 6y = -4 + 0 + 7y -1 + -2x + 6y = -4 + 7y Add '1' to each side of the equation. -1 + -2x + 1 + 6y = -4 + 1 + 7y Reorder the terms: -1 + 1 + -2x + 6y = -4 + 1 + 7y Combine like terms: -1 + 1 = 0 0 + -2x + 6y = -4 + 1 + 7y -2x + 6y = -4 + 1 + 7y Combine like terms: -4 + 1 = -3 -2x + 6y = -3 + 7y Add '-6y' to each side of the equation. -2x + 6y + -6y = -3 + 7y + -6y Combine like terms: 6y + -6y = 0 -2x + 0 = -3 + 7y + -6y -2x = -3 + 7y + -6y Combine like terms: 7y + -6y = 1y -2x = -3 + 1y Divide each side by '-2'. x = 1.5 + -0.5y Simplifying x = 1.5 + -0.5y
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