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Simplifying 3(7 + -2x) = -4(3x + -5) (7 * 3 + -2x * 3) = -4(3x + -5) (21 + -6x) = -4(3x + -5) Reorder the terms: 21 + -6x = -4(-5 + 3x) 21 + -6x = (-5 * -4 + 3x * -4) 21 + -6x = (20 + -12x) Solving 21 + -6x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 21 + -6x + 12x = 20 + -12x + 12x Combine like terms: -6x + 12x = 6x 21 + 6x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 21 + 6x = 20 + 0 21 + 6x = 20 Add '-21' to each side of the equation. 21 + -21 + 6x = 20 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 20 + -21 6x = 20 + -21 Combine like terms: 20 + -21 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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