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Simplifying -162 = -7x + -5(-6x + -9) Reorder the terms: -162 = -7x + -5(-9 + -6x) -162 = -7x + (-9 * -5 + -6x * -5) -162 = -7x + (45 + 30x) Reorder the terms: -162 = 45 + -7x + 30x Combine like terms: -7x + 30x = 23x -162 = 45 + 23x Solving -162 = 45 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -162 + -23x = 45 + 23x + -23x Combine like terms: 23x + -23x = 0 -162 + -23x = 45 + 0 -162 + -23x = 45 Add '162' to each side of the equation. -162 + 162 + -23x = 45 + 162 Combine like terms: -162 + 162 = 0 0 + -23x = 45 + 162 -23x = 45 + 162 Combine like terms: 45 + 162 = 207 -23x = 207 Divide each side by '-23'. x = -9 Simplifying x = -9
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