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Simplifying -4x + -2 + -6y = 1 + 3y + 2x Reorder the terms: -2 + -4x + -6y = 1 + 3y + 2x Reorder the terms: -2 + -4x + -6y = 1 + 2x + 3y Solving -2 + -4x + -6y = 1 + 2x + 3y 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. -2 + -4x + -2x + -6y = 1 + 2x + -2x + 3y Combine like terms: -4x + -2x = -6x -2 + -6x + -6y = 1 + 2x + -2x + 3y Combine like terms: 2x + -2x = 0 -2 + -6x + -6y = 1 + 0 + 3y -2 + -6x + -6y = 1 + 3y Add '2' to each side of the equation. -2 + -6x + 2 + -6y = 1 + 2 + 3y Reorder the terms: -2 + 2 + -6x + -6y = 1 + 2 + 3y Combine like terms: -2 + 2 = 0 0 + -6x + -6y = 1 + 2 + 3y -6x + -6y = 1 + 2 + 3y Combine like terms: 1 + 2 = 3 -6x + -6y = 3 + 3y Add '6y' to each side of the equation. -6x + -6y + 6y = 3 + 3y + 6y Combine like terms: -6y + 6y = 0 -6x + 0 = 3 + 3y + 6y -6x = 3 + 3y + 6y Combine like terms: 3y + 6y = 9y -6x = 3 + 9y Divide each side by '-6'. x = -0.5 + -1.5y Simplifying x = -0.5 + -1.5y
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