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Simplifying -52 = 2(5x + 9) Reorder the terms: -52 = 2(9 + 5x) -52 = (9 * 2 + 5x * 2) -52 = (18 + 10x) Solving -52 = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -52 + -10x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 -52 + -10x = 18 + 0 -52 + -10x = 18 Add '52' to each side of the equation. -52 + 52 + -10x = 18 + 52 Combine like terms: -52 + 52 = 0 0 + -10x = 18 + 52 -10x = 18 + 52 Combine like terms: 18 + 52 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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