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Simplifying 7(x + 6) + -7 = 116 + -2x Reorder the terms: 7(6 + x) + -7 = 116 + -2x (6 * 7 + x * 7) + -7 = 116 + -2x (42 + 7x) + -7 = 116 + -2x Reorder the terms: 42 + -7 + 7x = 116 + -2x Combine like terms: 42 + -7 = 35 35 + 7x = 116 + -2x Solving 35 + 7x = 116 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 35 + 7x + 2x = 116 + -2x + 2x Combine like terms: 7x + 2x = 9x 35 + 9x = 116 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + 9x = 116 + 0 35 + 9x = 116 Add '-35' to each side of the equation. 35 + -35 + 9x = 116 + -35 Combine like terms: 35 + -35 = 0 0 + 9x = 116 + -35 9x = 116 + -35 Combine like terms: 116 + -35 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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