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Simplifying -5(4x + -2) + 2x + 1 = -151 Reorder the terms: -5(-2 + 4x) + 2x + 1 = -151 (-2 * -5 + 4x * -5) + 2x + 1 = -151 (10 + -20x) + 2x + 1 = -151 Reorder the terms: 10 + 1 + -20x + 2x = -151 Combine like terms: 10 + 1 = 11 11 + -20x + 2x = -151 Combine like terms: -20x + 2x = -18x 11 + -18x = -151 Solving 11 + -18x = -151 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -18x = -151 + -11 Combine like terms: 11 + -11 = 0 0 + -18x = -151 + -11 -18x = -151 + -11 Combine like terms: -151 + -11 = -162 -18x = -162 Divide each side by '-18'. x = 9 Simplifying x = 9
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