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Simplifying 12x + -8 = 11(x + 6) + 5 Reorder the terms: -8 + 12x = 11(x + 6) + 5 Reorder the terms: -8 + 12x = 11(6 + x) + 5 -8 + 12x = (6 * 11 + x * 11) + 5 -8 + 12x = (66 + 11x) + 5 Reorder the terms: -8 + 12x = 66 + 5 + 11x Combine like terms: 66 + 5 = 71 -8 + 12x = 71 + 11x Solving -8 + 12x = 71 + 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. -8 + 12x + -11x = 71 + 11x + -11x Combine like terms: 12x + -11x = 1x -8 + 1x = 71 + 11x + -11x Combine like terms: 11x + -11x = 0 -8 + 1x = 71 + 0 -8 + 1x = 71 Add '8' to each side of the equation. -8 + 8 + 1x = 71 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 71 + 8 1x = 71 + 8 Combine like terms: 71 + 8 = 79 1x = 79 Divide each side by '1'. x = 79 Simplifying x = 79
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