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Simplifying 3(7 + -2x) = 2(5 + -4x) (7 * 3 + -2x * 3) = 2(5 + -4x) (21 + -6x) = 2(5 + -4x) 21 + -6x = (5 * 2 + -4x * 2) 21 + -6x = (10 + -8x) Solving 21 + -6x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 21 + -6x + 8x = 10 + -8x + 8x Combine like terms: -6x + 8x = 2x 21 + 2x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + 2x = 10 + 0 21 + 2x = 10 Add '-21' to each side of the equation. 21 + -21 + 2x = 10 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 10 + -21 2x = 10 + -21 Combine like terms: 10 + -21 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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