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Simplifying 2x + 5(-5x + -9) = 162 Reorder the terms: 2x + 5(-9 + -5x) = 162 2x + (-9 * 5 + -5x * 5) = 162 2x + (-45 + -25x) = 162 Reorder the terms: -45 + 2x + -25x = 162 Combine like terms: 2x + -25x = -23x -45 + -23x = 162 Solving -45 + -23x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -23x = 162 + 45 Combine like terms: -45 + 45 = 0 0 + -23x = 162 + 45 -23x = 162 + 45 Combine like terms: 162 + 45 = 207 -23x = 207 Divide each side by '-23'. x = -9 Simplifying x = -9
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