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Simplifying -5(4x + -2) = -2(3x + 6) Reorder the terms: -5(-2 + 4x) = -2(3x + 6) (-2 * -5 + 4x * -5) = -2(3x + 6) (10 + -20x) = -2(3x + 6) Reorder the terms: 10 + -20x = -2(6 + 3x) 10 + -20x = (6 * -2 + 3x * -2) 10 + -20x = (-12 + -6x) Solving 10 + -20x = -12 + -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. 10 + -20x + 6x = -12 + -6x + 6x Combine like terms: -20x + 6x = -14x 10 + -14x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + -14x = -12 + 0 10 + -14x = -12 Add '-10' to each side of the equation. 10 + -10 + -14x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = -12 + -10 -14x = -12 + -10 Combine like terms: -12 + -10 = -22 -14x = -22 Divide each side by '-14'. x = 1.571428571 Simplifying x = 1.571428571
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