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Simplifying 4y + -2 + 3x + -1 + 2x + 2 = 2y + 6 Reorder the terms: -2 + -1 + 2 + 3x + 2x + 4y = 2y + 6 Combine like terms: -2 + -1 = -3 -3 + 2 + 3x + 2x + 4y = 2y + 6 Combine like terms: -3 + 2 = -1 -1 + 3x + 2x + 4y = 2y + 6 Combine like terms: 3x + 2x = 5x -1 + 5x + 4y = 2y + 6 Reorder the terms: -1 + 5x + 4y = 6 + 2y Solving -1 + 5x + 4y = 6 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5x + 1 + 4y = 6 + 1 + 2y Reorder the terms: -1 + 1 + 5x + 4y = 6 + 1 + 2y Combine like terms: -1 + 1 = 0 0 + 5x + 4y = 6 + 1 + 2y 5x + 4y = 6 + 1 + 2y Combine like terms: 6 + 1 = 7 5x + 4y = 7 + 2y Add '-4y' to each side of the equation. 5x + 4y + -4y = 7 + 2y + -4y Combine like terms: 4y + -4y = 0 5x + 0 = 7 + 2y + -4y 5x = 7 + 2y + -4y Combine like terms: 2y + -4y = -2y 5x = 7 + -2y Divide each side by '5'. x = 1.4 + -0.4y Simplifying x = 1.4 + -0.4y
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