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Simplifying 7x + 3(x + -6) = 52 Reorder the terms: 7x + 3(-6 + x) = 52 7x + (-6 * 3 + x * 3) = 52 7x + (-18 + 3x) = 52 Reorder the terms: -18 + 7x + 3x = 52 Combine like terms: 7x + 3x = 10x -18 + 10x = 52 Solving -18 + 10x = 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 + 10x = 52 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 52 + 18 10x = 52 + 18 Combine like terms: 52 + 18 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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