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Simplifying 3(2x + -6) = 52 Reorder the terms: 3(-6 + 2x) = 52 (-6 * 3 + 2x * 3) = 52 (-18 + 6x) = 52 Solving -18 + 6x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6x = 52 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 52 + 18 6x = 52 + 18 Combine like terms: 52 + 18 = 70 6x = 70 Divide each side by '6'. x = 11.66666667 Simplifying x = 11.66666667
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