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Simplifying -2(x + -5) = 4(k + 9) Reorder the terms: -2(-5 + x) = 4(k + 9) (-5 * -2 + x * -2) = 4(k + 9) (10 + -2x) = 4(k + 9) Reorder the terms: 10 + -2x = 4(9 + k) 10 + -2x = (9 * 4 + k * 4) 10 + -2x = (36 + 4k) Solving 10 + -2x = 36 + 4k 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 + -2x = 36 + -10 + 4k Combine like terms: 10 + -10 = 0 0 + -2x = 36 + -10 + 4k -2x = 36 + -10 + 4k Combine like terms: 36 + -10 = 26 -2x = 26 + 4k Divide each side by '-2'. x = -13 + -2k Simplifying x = -13 + -2k
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