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Simplifying -7(5x + -6) = -4(-10 + k) + -4k Reorder the terms: -7(-6 + 5x) = -4(-10 + k) + -4k (-6 * -7 + 5x * -7) = -4(-10 + k) + -4k (42 + -35x) = -4(-10 + k) + -4k 42 + -35x = (-10 * -4 + k * -4) + -4k 42 + -35x = (40 + -4k) + -4k Combine like terms: -4k + -4k = -8k 42 + -35x = 40 + -8k Solving 42 + -35x = 40 + -8k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -35x = 40 + -42 + -8k Combine like terms: 42 + -42 = 0 0 + -35x = 40 + -42 + -8k -35x = 40 + -42 + -8k Combine like terms: 40 + -42 = -2 -35x = -2 + -8k Divide each side by '-35'. x = 0.05714285714 + 0.2285714286k Simplifying x = 0.05714285714 + 0.2285714286k
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