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Simplifying 4x + 2x + -1y = -3x + -4 + 12 Combine like terms: 4x + 2x = 6x 6x + -1y = -3x + -4 + 12 Reorder the terms: 6x + -1y = -4 + 12 + -3x Combine like terms: -4 + 12 = 8 6x + -1y = 8 + -3x Solving 6x + -1y = 8 + -3x 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 = 8 + -3x + 3x Combine like terms: 6x + 3x = 9x 9x + -1y = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 9x + -1y = 8 + 0 9x + -1y = 8 Add 'y' to each side of the equation. 9x + -1y + y = 8 + y Combine like terms: -1y + y = 0 9x + 0 = 8 + y 9x = 8 + y Divide each side by '9'. x = 0.8888888889 + 0.1111111111y Simplifying x = 0.8888888889 + 0.1111111111y
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