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Simplifying 12x + 2 = 11(x + -5) + 4 Reorder the terms: 2 + 12x = 11(x + -5) + 4 Reorder the terms: 2 + 12x = 11(-5 + x) + 4 2 + 12x = (-5 * 11 + x * 11) + 4 2 + 12x = (-55 + 11x) + 4 Reorder the terms: 2 + 12x = -55 + 4 + 11x Combine like terms: -55 + 4 = -51 2 + 12x = -51 + 11x Solving 2 + 12x = -51 + 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 = -51 + 11x + -11x Combine like terms: 12x + -11x = 1x 2 + 1x = -51 + 11x + -11x Combine like terms: 11x + -11x = 0 2 + 1x = -51 + 0 2 + 1x = -51 Add '-2' to each side of the equation. 2 + -2 + 1x = -51 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -51 + -2 1x = -51 + -2 Combine like terms: -51 + -2 = -53 1x = -53 Divide each side by '1'. x = -53 Simplifying x = -53
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