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Simplifying 9x + 12x + 66 = 3x + 72 + 6x + -1 Reorder the terms: 66 + 9x + 12x = 3x + 72 + 6x + -1 Combine like terms: 9x + 12x = 21x 66 + 21x = 3x + 72 + 6x + -1 Reorder the terms: 66 + 21x = 72 + -1 + 3x + 6x Combine like terms: 72 + -1 = 71 66 + 21x = 71 + 3x + 6x Combine like terms: 3x + 6x = 9x 66 + 21x = 71 + 9x Solving 66 + 21x = 71 + 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. 66 + 21x + -9x = 71 + 9x + -9x Combine like terms: 21x + -9x = 12x 66 + 12x = 71 + 9x + -9x Combine like terms: 9x + -9x = 0 66 + 12x = 71 + 0 66 + 12x = 71 Add '-66' to each side of the equation. 66 + -66 + 12x = 71 + -66 Combine like terms: 66 + -66 = 0 0 + 12x = 71 + -66 12x = 71 + -66 Combine like terms: 71 + -66 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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