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Simplifying 9(4 + x) = 3(7x) + 6 + -6 (4 * 9 + x * 9) = 3(7x) + 6 + -6 (36 + 9x) = 3(7x) + 6 + -6 Remove parenthesis around (7x) 36 + 9x = 3 * 7x + 6 + -6 Multiply 3 * 7 36 + 9x = 21x + 6 + -6 Reorder the terms: 36 + 9x = 6 + -6 + 21x Combine like terms: 6 + -6 = 0 36 + 9x = 0 + 21x 36 + 9x = 21x Solving 36 + 9x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 36 + 9x + -21x = 21x + -21x Combine like terms: 9x + -21x = -12x 36 + -12x = 21x + -21x Combine like terms: 21x + -21x = 0 36 + -12x = 0 Add '-36' to each side of the equation. 36 + -36 + -12x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = 0 + -36 -12x = 0 + -36 Combine like terms: 0 + -36 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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