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Simplifying 9(x + 2) + 6(x + 6) = 6x + -6 Reorder the terms: 9(2 + x) + 6(x + 6) = 6x + -6 (2 * 9 + x * 9) + 6(x + 6) = 6x + -6 (18 + 9x) + 6(x + 6) = 6x + -6 Reorder the terms: 18 + 9x + 6(6 + x) = 6x + -6 18 + 9x + (6 * 6 + x * 6) = 6x + -6 18 + 9x + (36 + 6x) = 6x + -6 Reorder the terms: 18 + 36 + 9x + 6x = 6x + -6 Combine like terms: 18 + 36 = 54 54 + 9x + 6x = 6x + -6 Combine like terms: 9x + 6x = 15x 54 + 15x = 6x + -6 Reorder the terms: 54 + 15x = -6 + 6x Solving 54 + 15x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 54 + 15x + -6x = -6 + 6x + -6x Combine like terms: 15x + -6x = 9x 54 + 9x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 54 + 9x = -6 + 0 54 + 9x = -6 Add '-54' to each side of the equation. 54 + -54 + 9x = -6 + -54 Combine like terms: 54 + -54 = 0 0 + 9x = -6 + -54 9x = -6 + -54 Combine like terms: -6 + -54 = -60 9x = -60 Divide each side by '9'. x = -6.666666667 Simplifying x = -6.666666667
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