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Simplifying 2(-7x + 3) = -5(4x + -2) Reorder the terms: 2(3 + -7x) = -5(4x + -2) (3 * 2 + -7x * 2) = -5(4x + -2) (6 + -14x) = -5(4x + -2) Reorder the terms: 6 + -14x = -5(-2 + 4x) 6 + -14x = (-2 * -5 + 4x * -5) 6 + -14x = (10 + -20x) Solving 6 + -14x = 10 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 6 + -14x + 20x = 10 + -20x + 20x Combine like terms: -14x + 20x = 6x 6 + 6x = 10 + -20x + 20x Combine like terms: -20x + 20x = 0 6 + 6x = 10 + 0 6 + 6x = 10 Add '-6' to each side of the equation. 6 + -6 + 6x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 10 + -6 6x = 10 + -6 Combine like terms: 10 + -6 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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