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Simplifying -5(4x + -2) = -2(3 + 2x) Reorder the terms: -5(-2 + 4x) = -2(3 + 2x) (-2 * -5 + 4x * -5) = -2(3 + 2x) (10 + -20x) = -2(3 + 2x) 10 + -20x = (3 * -2 + 2x * -2) 10 + -20x = (-6 + -4x) Solving 10 + -20x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + -20x + 4x = -6 + -4x + 4x Combine like terms: -20x + 4x = -16x 10 + -16x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + -16x = -6 + 0 10 + -16x = -6 Add '-10' to each side of the equation. 10 + -10 + -16x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = -6 + -10 -16x = -6 + -10 Combine like terms: -6 + -10 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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