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Simplifying 12x + 2 = 11(x + -5) + -1 Reorder the terms: 2 + 12x = 11(x + -5) + -1 Reorder the terms: 2 + 12x = 11(-5 + x) + -1 2 + 12x = (-5 * 11 + x * 11) + -1 2 + 12x = (-55 + 11x) + -1 Reorder the terms: 2 + 12x = -55 + -1 + 11x Combine like terms: -55 + -1 = -56 2 + 12x = -56 + 11x Solving 2 + 12x = -56 + 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. 2 + 12x + -11x = -56 + 11x + -11x Combine like terms: 12x + -11x = 1x 2 + 1x = -56 + 11x + -11x Combine like terms: 11x + -11x = 0 2 + 1x = -56 + 0 2 + 1x = -56 Add '-2' to each side of the equation. 2 + -2 + 1x = -56 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -56 + -2 1x = -56 + -2 Combine like terms: -56 + -2 = -58 1x = -58 Divide each side by '1'. x = -58 Simplifying x = -58
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