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Simplifying 6(2x + 7) = 33x Reorder the terms: 6(7 + 2x) = 33x (7 * 6 + 2x * 6) = 33x (42 + 12x) = 33x Solving 42 + 12x = 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 42 + 12x + -33x = 33x + -33x Combine like terms: 12x + -33x = -21x 42 + -21x = 33x + -33x Combine like terms: 33x + -33x = 0 42 + -21x = 0 Add '-42' to each side of the equation. 42 + -42 + -21x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21x = 0 + -42 -21x = 0 + -42 Combine like terms: 0 + -42 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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