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Simplifying 3(x + -2) + 2y = 6 Reorder the terms: 3(-2 + x) + 2y = 6 (-2 * 3 + x * 3) + 2y = 6 (-6 + 3x) + 2y = 6 Solving -6 + 3x + 2y = 6 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 + 3x + 6 + 2y = 6 + 6 Reorder the terms: -6 + 6 + 3x + 2y = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x + 2y = 6 + 6 3x + 2y = 6 + 6 Combine like terms: 6 + 6 = 12 3x + 2y = 12 Add '-2y' to each side of the equation. 3x + 2y + -2y = 12 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 12 + -2y 3x = 12 + -2y Divide each side by '3'. x = 4 + -0.6666666667y Simplifying x = 4 + -0.6666666667y
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