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Simplifying 6(6x + -13) = 282 Reorder the terms: 6(-13 + 6x) = 282 (-13 * 6 + 6x * 6) = 282 (-78 + 36x) = 282 Solving -78 + 36x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 36x = 282 + 78 Combine like terms: -78 + 78 = 0 0 + 36x = 282 + 78 36x = 282 + 78 Combine like terms: 282 + 78 = 360 36x = 360 Divide each side by '36'. x = 10 Simplifying x = 10
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