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Simplifying 3(9 + -1x) = 7(3x + -2) (9 * 3 + -1x * 3) = 7(3x + -2) (27 + -3x) = 7(3x + -2) Reorder the terms: 27 + -3x = 7(-2 + 3x) 27 + -3x = (-2 * 7 + 3x * 7) 27 + -3x = (-14 + 21x) Solving 27 + -3x = -14 + 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. 27 + -3x + -21x = -14 + 21x + -21x Combine like terms: -3x + -21x = -24x 27 + -24x = -14 + 21x + -21x Combine like terms: 21x + -21x = 0 27 + -24x = -14 + 0 27 + -24x = -14 Add '-27' to each side of the equation. 27 + -27 + -24x = -14 + -27 Combine like terms: 27 + -27 = 0 0 + -24x = -14 + -27 -24x = -14 + -27 Combine like terms: -14 + -27 = -41 -24x = -41 Divide each side by '-24'. x = 1.708333333 Simplifying x = 1.708333333
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