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Simplifying 6(7 + -2x) + 3(7x + -6) = 69 (7 * 6 + -2x * 6) + 3(7x + -6) = 69 (42 + -12x) + 3(7x + -6) = 69 Reorder the terms: 42 + -12x + 3(-6 + 7x) = 69 42 + -12x + (-6 * 3 + 7x * 3) = 69 42 + -12x + (-18 + 21x) = 69 Reorder the terms: 42 + -18 + -12x + 21x = 69 Combine like terms: 42 + -18 = 24 24 + -12x + 21x = 69 Combine like terms: -12x + 21x = 9x 24 + 9x = 69 Solving 24 + 9x = 69 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 + 9x = 69 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 69 + -24 9x = 69 + -24 Combine like terms: 69 + -24 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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