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Simplifying 6(7 + -11x) = -78x + 126 (7 * 6 + -11x * 6) = -78x + 126 (42 + -66x) = -78x + 126 Reorder the terms: 42 + -66x = 126 + -78x Solving 42 + -66x = 126 + -78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78x' to each side of the equation. 42 + -66x + 78x = 126 + -78x + 78x Combine like terms: -66x + 78x = 12x 42 + 12x = 126 + -78x + 78x Combine like terms: -78x + 78x = 0 42 + 12x = 126 + 0 42 + 12x = 126 Add '-42' to each side of the equation. 42 + -42 + 12x = 126 + -42 Combine like terms: 42 + -42 = 0 0 + 12x = 126 + -42 12x = 126 + -42 Combine like terms: 126 + -42 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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