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Simplifying 4x + 2x + -1y = -3x + -4y + 12 Combine like terms: 4x + 2x = 6x 6x + -1y = -3x + -4y + 12 Reorder the terms: 6x + -1y = 12 + -3x + -4y Solving 6x + -1y = 12 + -3x + -4y 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. 6x + 3x + -1y = 12 + -3x + 3x + -4y Combine like terms: 6x + 3x = 9x 9x + -1y = 12 + -3x + 3x + -4y Combine like terms: -3x + 3x = 0 9x + -1y = 12 + 0 + -4y 9x + -1y = 12 + -4y Add 'y' to each side of the equation. 9x + -1y + y = 12 + -4y + y Combine like terms: -1y + y = 0 9x + 0 = 12 + -4y + y 9x = 12 + -4y + y Combine like terms: -4y + y = -3y 9x = 12 + -3y Divide each side by '9'. x = 1.333333333 + -0.3333333333y Simplifying x = 1.333333333 + -0.3333333333y
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