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Simplifying 3(2x + 7) + 6x = 69 + 2x + 4x Reorder the terms: 3(7 + 2x) + 6x = 69 + 2x + 4x (7 * 3 + 2x * 3) + 6x = 69 + 2x + 4x (21 + 6x) + 6x = 69 + 2x + 4x Combine like terms: 6x + 6x = 12x 21 + 12x = 69 + 2x + 4x Combine like terms: 2x + 4x = 6x 21 + 12x = 69 + 6x Solving 21 + 12x = 69 + 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. 21 + 12x + -6x = 69 + 6x + -6x Combine like terms: 12x + -6x = 6x 21 + 6x = 69 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 6x = 69 + 0 21 + 6x = 69 Add '-21' to each side of the equation. 21 + -21 + 6x = 69 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 69 + -21 6x = 69 + -21 Combine like terms: 69 + -21 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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