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Simplifying 2(3 + 5x) + -4 = 52 (3 * 2 + 5x * 2) + -4 = 52 (6 + 10x) + -4 = 52 Reorder the terms: 6 + -4 + 10x = 52 Combine like terms: 6 + -4 = 2 2 + 10x = 52 Solving 2 + 10x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = 52 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 52 + -2 10x = 52 + -2 Combine like terms: 52 + -2 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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