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Simplifying 342 = 6(7x + 15) Reorder the terms: 342 = 6(15 + 7x) 342 = (15 * 6 + 7x * 6) 342 = (90 + 42x) Solving 342 = 90 + 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. 342 + -42x = 90 + 42x + -42x Combine like terms: 42x + -42x = 0 342 + -42x = 90 + 0 342 + -42x = 90 Add '-342' to each side of the equation. 342 + -342 + -42x = 90 + -342 Combine like terms: 342 + -342 = 0 0 + -42x = 90 + -342 -42x = 90 + -342 Combine like terms: 90 + -342 = -252 -42x = -252 Divide each side by '-42'. x = 6 Simplifying x = 6
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