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Simplifying 252 = 6(5x + 7) Reorder the terms: 252 = 6(7 + 5x) 252 = (7 * 6 + 5x * 6) 252 = (42 + 30x) Solving 252 = 42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 252 + -30x = 42 + 30x + -30x Combine like terms: 30x + -30x = 0 252 + -30x = 42 + 0 252 + -30x = 42 Add '-252' to each side of the equation. 252 + -252 + -30x = 42 + -252 Combine like terms: 252 + -252 = 0 0 + -30x = 42 + -252 -30x = 42 + -252 Combine like terms: 42 + -252 = -210 -30x = -210 Divide each side by '-30'. x = 7 Simplifying x = 7
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