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Simplifying 4x + 2y + -6 = x + 3y + 4 Reorder the terms: -6 + 4x + 2y = x + 3y + 4 Reorder the terms: -6 + 4x + 2y = 4 + x + 3y Solving -6 + 4x + 2y = 4 + x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 4x + -1x + 2y = 4 + x + -1x + 3y Combine like terms: 4x + -1x = 3x -6 + 3x + 2y = 4 + x + -1x + 3y Combine like terms: x + -1x = 0 -6 + 3x + 2y = 4 + 0 + 3y -6 + 3x + 2y = 4 + 3y Add '6' to each side of the equation. -6 + 3x + 6 + 2y = 4 + 6 + 3y Reorder the terms: -6 + 6 + 3x + 2y = 4 + 6 + 3y Combine like terms: -6 + 6 = 0 0 + 3x + 2y = 4 + 6 + 3y 3x + 2y = 4 + 6 + 3y Combine like terms: 4 + 6 = 10 3x + 2y = 10 + 3y Add '-2y' to each side of the equation. 3x + 2y + -2y = 10 + 3y + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 10 + 3y + -2y 3x = 10 + 3y + -2y Combine like terms: 3y + -2y = 1y 3x = 10 + 1y Divide each side by '3'. x = 3.333333333 + 0.3333333333y Simplifying x = 3.333333333 + 0.3333333333y
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