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Simplifying k(x) = (-3x + 12x + 36) + -7 + -36 Multiply k * x kx = (-3x + 12x + 36) + -7 + -36 Reorder the terms: kx = (36 + -3x + 12x) + -7 + -36 Combine like terms: -3x + 12x = 9x kx = (36 + 9x) + -7 + -36 Remove parenthesis around (36 + 9x) kx = 36 + 9x + -7 + -36 Reorder the terms: kx = 36 + -7 + -36 + 9x Combine like terms: 36 + -7 = 29 kx = 29 + -36 + 9x Combine like terms: 29 + -36 = -7 kx = -7 + 9x Solving kx = -7 + 9x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by 'x'. k = -7x-1 + 9 Simplifying k = -7x-1 + 9 Reorder the terms: k = 9 + -7x-1
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