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Simplifying 247 = 7x + -5(1 + -7x) 247 = 7x + (1 * -5 + -7x * -5) 247 = 7x + (-5 + 35x) Reorder the terms: 247 = -5 + 7x + 35x Combine like terms: 7x + 35x = 42x 247 = -5 + 42x Solving 247 = -5 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 247 + -42x = -5 + 42x + -42x Combine like terms: 42x + -42x = 0 247 + -42x = -5 + 0 247 + -42x = -5 Add '-247' to each side of the equation. 247 + -247 + -42x = -5 + -247 Combine like terms: 247 + -247 = 0 0 + -42x = -5 + -247 -42x = -5 + -247 Combine like terms: -5 + -247 = -252 -42x = -252 Divide each side by '-42'. x = 6 Simplifying x = 6
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