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