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Simplifying 30 + -2x = 2(4k + 5) Reorder the terms: 30 + -2x = 2(5 + 4k) 30 + -2x = (5 * 2 + 4k * 2) 30 + -2x = (10 + 8k) Solving 30 + -2x = 10 + 8k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -2x = 10 + -30 + 8k Combine like terms: 30 + -30 = 0 0 + -2x = 10 + -30 + 8k -2x = 10 + -30 + 8k Combine like terms: 10 + -30 = -20 -2x = -20 + 8k Divide each side by '-2'. x = 10 + -4k Simplifying x = 10 + -4k
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