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Simplifying 3x + 6(2x + -1y) = 4 + -7x 3x + (2x * 6 + -1y * 6) = 4 + -7x 3x + (12x + -6y) = 4 + -7x Combine like terms: 3x + 12x = 15x 15x + -6y = 4 + -7x Solving 15x + -6y = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15x + 7x + -6y = 4 + -7x + 7x Combine like terms: 15x + 7x = 22x 22x + -6y = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 22x + -6y = 4 + 0 22x + -6y = 4 Add '6y' to each side of the equation. 22x + -6y + 6y = 4 + 6y Combine like terms: -6y + 6y = 0 22x + 0 = 4 + 6y 22x = 4 + 6y Divide each side by '22'. x = 0.1818181818 + 0.2727272727y Simplifying x = 0.1818181818 + 0.2727272727y
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