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Simplifying 9(6x + -14) = 3(3x + 4) Reorder the terms: 9(-14 + 6x) = 3(3x + 4) (-14 * 9 + 6x * 9) = 3(3x + 4) (-126 + 54x) = 3(3x + 4) Reorder the terms: -126 + 54x = 3(4 + 3x) -126 + 54x = (4 * 3 + 3x * 3) -126 + 54x = (12 + 9x) Solving -126 + 54x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -126 + 54x + -9x = 12 + 9x + -9x Combine like terms: 54x + -9x = 45x -126 + 45x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -126 + 45x = 12 + 0 -126 + 45x = 12 Add '126' to each side of the equation. -126 + 126 + 45x = 12 + 126 Combine like terms: -126 + 126 = 0 0 + 45x = 12 + 126 45x = 12 + 126 Combine like terms: 12 + 126 = 138 45x = 138 Divide each side by '45'. x = 3.066666667 Simplifying x = 3.066666667
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