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Simplifying 9(6 + -2x) = 3(7 + x) (6 * 9 + -2x * 9) = 3(7 + x) (54 + -18x) = 3(7 + x) 54 + -18x = (7 * 3 + x * 3) 54 + -18x = (21 + 3x) Solving 54 + -18x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 54 + -18x + -3x = 21 + 3x + -3x Combine like terms: -18x + -3x = -21x 54 + -21x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 54 + -21x = 21 + 0 54 + -21x = 21 Add '-54' to each side of the equation. 54 + -54 + -21x = 21 + -54 Combine like terms: 54 + -54 = 0 0 + -21x = 21 + -54 -21x = 21 + -54 Combine like terms: 21 + -54 = -33 -21x = -33 Divide each side by '-21'. x = 1.571428571 Simplifying x = 1.571428571
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