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Simplifying 252 = 7(1 + 5x) 252 = (1 * 7 + 5x * 7) 252 = (7 + 35x) Solving 252 = 7 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 252 + -35x = 7 + 35x + -35x Combine like terms: 35x + -35x = 0 252 + -35x = 7 + 0 252 + -35x = 7 Add '-252' to each side of the equation. 252 + -252 + -35x = 7 + -252 Combine like terms: 252 + -252 = 0 0 + -35x = 7 + -252 -35x = 7 + -252 Combine like terms: 7 + -252 = -245 -35x = -245 Divide each side by '-35'. x = 7 Simplifying x = 7
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