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Simplifying 5x + 4y + -2 = -6 + 7y + -3x Reorder the terms: -2 + 5x + 4y = -6 + 7y + -3x Reorder the terms: -2 + 5x + 4y = -6 + -3x + 7y Solving -2 + 5x + 4y = -6 + -3x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 5x + 3x + 4y = -6 + -3x + 3x + 7y Combine like terms: 5x + 3x = 8x -2 + 8x + 4y = -6 + -3x + 3x + 7y Combine like terms: -3x + 3x = 0 -2 + 8x + 4y = -6 + 0 + 7y -2 + 8x + 4y = -6 + 7y Add '2' to each side of the equation. -2 + 8x + 2 + 4y = -6 + 2 + 7y Reorder the terms: -2 + 2 + 8x + 4y = -6 + 2 + 7y Combine like terms: -2 + 2 = 0 0 + 8x + 4y = -6 + 2 + 7y 8x + 4y = -6 + 2 + 7y Combine like terms: -6 + 2 = -4 8x + 4y = -4 + 7y Add '-4y' to each side of the equation. 8x + 4y + -4y = -4 + 7y + -4y Combine like terms: 4y + -4y = 0 8x + 0 = -4 + 7y + -4y 8x = -4 + 7y + -4y Combine like terms: 7y + -4y = 3y 8x = -4 + 3y Divide each side by '8'. x = -0.5 + 0.375y Simplifying x = -0.5 + 0.375y
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