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Simplifying 5(-4x + 2) + 2x + -1 = -81 Reorder the terms: 5(2 + -4x) + 2x + -1 = -81 (2 * 5 + -4x * 5) + 2x + -1 = -81 (10 + -20x) + 2x + -1 = -81 Reorder the terms: 10 + -1 + -20x + 2x = -81 Combine like terms: 10 + -1 = 9 9 + -20x + 2x = -81 Combine like terms: -20x + 2x = -18x 9 + -18x = -81 Solving 9 + -18x = -81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -18x = -81 + -9 Combine like terms: 9 + -9 = 0 0 + -18x = -81 + -9 -18x = -81 + -9 Combine like terms: -81 + -9 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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