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Simplifying 25 + 10(12 + -1K) = 5(2X + -7) 25 + (12 * 10 + -1K * 10) = 5(2X + -7) 25 + (120 + -10K) = 5(2X + -7) Combine like terms: 25 + 120 = 145 145 + -10K = 5(2X + -7) Reorder the terms: 145 + -10K = 5(-7 + 2X) 145 + -10K = (-7 * 5 + 2X * 5) 145 + -10K = (-35 + 10X) Solving 145 + -10K = -35 + 10X Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-145' to each side of the equation. 145 + -145 + -10K = -35 + -145 + 10X Combine like terms: 145 + -145 = 0 0 + -10K = -35 + -145 + 10X -10K = -35 + -145 + 10X Combine like terms: -35 + -145 = -180 -10K = -180 + 10X Divide each side by '-10'. K = 18 + -1X Simplifying K = 18 + -1X
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