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Simplifying 100 + -6(x + 15) = 46 Reorder the terms: 100 + -6(15 + x) = 46 100 + (15 * -6 + x * -6) = 46 100 + (-90 + -6x) = 46 Combine like terms: 100 + -90 = 10 10 + -6x = 46 Solving 10 + -6x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -6x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 46 + -10 -6x = 46 + -10 Combine like terms: 46 + -10 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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