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Simplifying 12x + 5 = 11(x + 7) + 10 Reorder the terms: 5 + 12x = 11(x + 7) + 10 Reorder the terms: 5 + 12x = 11(7 + x) + 10 5 + 12x = (7 * 11 + x * 11) + 10 5 + 12x = (77 + 11x) + 10 Reorder the terms: 5 + 12x = 77 + 10 + 11x Combine like terms: 77 + 10 = 87 5 + 12x = 87 + 11x Solving 5 + 12x = 87 + 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. 5 + 12x + -11x = 87 + 11x + -11x Combine like terms: 12x + -11x = 1x 5 + 1x = 87 + 11x + -11x Combine like terms: 11x + -11x = 0 5 + 1x = 87 + 0 5 + 1x = 87 Add '-5' to each side of the equation. 5 + -5 + 1x = 87 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 87 + -5 1x = 87 + -5 Combine like terms: 87 + -5 = 82 1x = 82 Divide each side by '1'. x = 82 Simplifying x = 82
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