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Simplifying 6(3x + 7y + -2) = 0 Reorder the terms: 6(-2 + 3x + 7y) = 0 (-2 * 6 + 3x * 6 + 7y * 6) = 0 (-12 + 18x + 42y) = 0 Solving -12 + 18x + 42y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 18x + 12 + 42y = 0 + 12 Reorder the terms: -12 + 12 + 18x + 42y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 18x + 42y = 0 + 12 18x + 42y = 0 + 12 Combine like terms: 0 + 12 = 12 18x + 42y = 12 Add '-42y' to each side of the equation. 18x + 42y + -42y = 12 + -42y Combine like terms: 42y + -42y = 0 18x + 0 = 12 + -42y 18x = 12 + -42y Divide each side by '18'. x = 0.6666666667 + -2.333333333y Simplifying x = 0.6666666667 + -2.333333333y
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