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Simplifying 12x + 7 = 11(x + 6) + 2 Reorder the terms: 7 + 12x = 11(x + 6) + 2 Reorder the terms: 7 + 12x = 11(6 + x) + 2 7 + 12x = (6 * 11 + x * 11) + 2 7 + 12x = (66 + 11x) + 2 Reorder the terms: 7 + 12x = 66 + 2 + 11x Combine like terms: 66 + 2 = 68 7 + 12x = 68 + 11x Solving 7 + 12x = 68 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 7 + 12x + -11x = 68 + 11x + -11x Combine like terms: 12x + -11x = 1x 7 + 1x = 68 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + 1x = 68 + 0 7 + 1x = 68 Add '-7' to each side of the equation. 7 + -7 + 1x = 68 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 68 + -7 1x = 68 + -7 Combine like terms: 68 + -7 = 61 1x = 61 Divide each side by '1'. x = 61 Simplifying x = 61
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