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Simplifying 342 = 6(8 + -7x) 342 = (8 * 6 + -7x * 6) 342 = (48 + -42x) Solving 342 = 48 + -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 = 48 + -42x + 42x Combine like terms: -42x + 42x = 0 342 + 42x = 48 + 0 342 + 42x = 48 Add '-342' to each side of the equation. 342 + -342 + 42x = 48 + -342 Combine like terms: 342 + -342 = 0 0 + 42x = 48 + -342 42x = 48 + -342 Combine like terms: 48 + -342 = -294 42x = -294 Divide each side by '42'. x = -7 Simplifying x = -7
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