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Simplifying 3(1 + 6x) + 5(x + -6) = -73 (1 * 3 + 6x * 3) + 5(x + -6) = -73 (3 + 18x) + 5(x + -6) = -73 Reorder the terms: 3 + 18x + 5(-6 + x) = -73 3 + 18x + (-6 * 5 + x * 5) = -73 3 + 18x + (-30 + 5x) = -73 Reorder the terms: 3 + -30 + 18x + 5x = -73 Combine like terms: 3 + -30 = -27 -27 + 18x + 5x = -73 Combine like terms: 18x + 5x = 23x -27 + 23x = -73 Solving -27 + 23x = -73 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 23x = -73 + 27 Combine like terms: -27 + 27 = 0 0 + 23x = -73 + 27 23x = -73 + 27 Combine like terms: -73 + 27 = -46 23x = -46 Divide each side by '23'. x = -2 Simplifying x = -2
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