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Simplifying 3(7 + -4x) = 2(1 + -3x) (7 * 3 + -4x * 3) = 2(1 + -3x) (21 + -12x) = 2(1 + -3x) 21 + -12x = (1 * 2 + -3x * 2) 21 + -12x = (2 + -6x) Solving 21 + -12x = 2 + -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 = 2 + -6x + 6x Combine like terms: -12x + 6x = -6x 21 + -6x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + -6x = 2 + 0 21 + -6x = 2 Add '-21' to each side of the equation. 21 + -21 + -6x = 2 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = 2 + -21 -6x = 2 + -21 Combine like terms: 2 + -21 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667
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