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Simplifying -5(4x + -2) = -2(3 + x) Reorder the terms: -5(-2 + 4x) = -2(3 + x) (-2 * -5 + 4x * -5) = -2(3 + x) (10 + -20x) = -2(3 + x) 10 + -20x = (3 * -2 + x * -2) 10 + -20x = (-6 + -2x) Solving 10 + -20x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + -20x + 2x = -6 + -2x + 2x Combine like terms: -20x + 2x = -18x 10 + -18x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -18x = -6 + 0 10 + -18x = -6 Add '-10' to each side of the equation. 10 + -10 + -18x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -18x = -6 + -10 -18x = -6 + -10 Combine like terms: -6 + -10 = -16 -18x = -16 Divide each side by '-18'. x = 0.8888888889 Simplifying x = 0.8888888889
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