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Simplifying 12(3x + -7) + 6(3x + -7) = 0 Reorder the terms: 12(-7 + 3x) + 6(3x + -7) = 0 (-7 * 12 + 3x * 12) + 6(3x + -7) = 0 (-84 + 36x) + 6(3x + -7) = 0 Reorder the terms: -84 + 36x + 6(-7 + 3x) = 0 -84 + 36x + (-7 * 6 + 3x * 6) = 0 -84 + 36x + (-42 + 18x) = 0 Reorder the terms: -84 + -42 + 36x + 18x = 0 Combine like terms: -84 + -42 = -126 -126 + 36x + 18x = 0 Combine like terms: 36x + 18x = 54x -126 + 54x = 0 Solving -126 + 54x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + 54x = 0 + 126 Combine like terms: -126 + 126 = 0 0 + 54x = 0 + 126 54x = 0 + 126 Combine like terms: 0 + 126 = 126 54x = 126 Divide each side by '54'. x = 2.333333333 Simplifying x = 2.333333333
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