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Simplifying 6(x + 7) + -6(9 + -6) = 18 Reorder the terms: 6(7 + x) + -6(9 + -6) = 18 (7 * 6 + x * 6) + -6(9 + -6) = 18 (42 + 6x) + -6(9 + -6) = 18 Combine like terms: 9 + -6 = 3 42 + 6x + -6(3) = 18 Multiply -6 * 3 42 + 6x + -18 = 18 Reorder the terms: 42 + -18 + 6x = 18 Combine like terms: 42 + -18 = 24 24 + 6x = 18 Solving 24 + 6x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 18 + -24 6x = 18 + -24 Combine like terms: 18 + -24 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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