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Simplifying -5(4x + -2) = -2(3 + 6x) Reorder the terms: -5(-2 + 4x) = -2(3 + 6x) (-2 * -5 + 4x * -5) = -2(3 + 6x) (10 + -20x) = -2(3 + 6x) 10 + -20x = (3 * -2 + 6x * -2) 10 + -20x = (-6 + -12x) Solving 10 + -20x = -6 + -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. 10 + -20x + 12x = -6 + -12x + 12x Combine like terms: -20x + 12x = -8x 10 + -8x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + -8x = -6 + 0 10 + -8x = -6 Add '-10' to each side of the equation. 10 + -10 + -8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -6 + -10 -8x = -6 + -10 Combine like terms: -6 + -10 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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