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Simplifying 2x + 4y + -3 = 6 + 3x + -2y Reorder the terms: -3 + 2x + 4y = 6 + 3x + -2y Solving -3 + 2x + 4y = 6 + 3x + -2y 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. -3 + 2x + -3x + 4y = 6 + 3x + -3x + -2y Combine like terms: 2x + -3x = -1x -3 + -1x + 4y = 6 + 3x + -3x + -2y Combine like terms: 3x + -3x = 0 -3 + -1x + 4y = 6 + 0 + -2y -3 + -1x + 4y = 6 + -2y Add '3' to each side of the equation. -3 + -1x + 3 + 4y = 6 + 3 + -2y Reorder the terms: -3 + 3 + -1x + 4y = 6 + 3 + -2y Combine like terms: -3 + 3 = 0 0 + -1x + 4y = 6 + 3 + -2y -1x + 4y = 6 + 3 + -2y Combine like terms: 6 + 3 = 9 -1x + 4y = 9 + -2y Add '-4y' to each side of the equation. -1x + 4y + -4y = 9 + -2y + -4y Combine like terms: 4y + -4y = 0 -1x + 0 = 9 + -2y + -4y -1x = 9 + -2y + -4y Combine like terms: -2y + -4y = -6y -1x = 9 + -6y Divide each side by '-1'. x = -9 + 6y Simplifying x = -9 + 6y
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