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Simplifying 3x + (4x + -2y) + 6 = 0 Remove parenthesis around (4x + -2y) 3x + 4x + -2y + 6 = 0 Reorder the terms: 6 + 3x + 4x + -2y = 0 Combine like terms: 3x + 4x = 7x 6 + 7x + -2y = 0 Solving 6 + 7x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 7x + -6 + -2y = 0 + -6 Reorder the terms: 6 + -6 + 7x + -2y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x + -2y = 0 + -6 7x + -2y = 0 + -6 Combine like terms: 0 + -6 = -6 7x + -2y = -6 Add '2y' to each side of the equation. 7x + -2y + 2y = -6 + 2y Combine like terms: -2y + 2y = 0 7x + 0 = -6 + 2y 7x = -6 + 2y Divide each side by '7'. x = -0.8571428571 + 0.2857142857y Simplifying x = -0.8571428571 + 0.2857142857y
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