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Simplifying 12x + 2 = 5x + -1(1 + -1x) Reorder the terms: 2 + 12x = 5x + -1(1 + -1x) 2 + 12x = 5x + (1 * -1 + -1x * -1) 2 + 12x = 5x + (-1 + 1x) Reorder the terms: 2 + 12x = -1 + 5x + 1x Combine like terms: 5x + 1x = 6x 2 + 12x = -1 + 6x Solving 2 + 12x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 12x + -6x = -1 + 6x + -6x Combine like terms: 12x + -6x = 6x 2 + 6x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 6x = -1 + 0 2 + 6x = -1 Add '-2' to each side of the equation. 2 + -2 + 6x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -1 + -2 6x = -1 + -2 Combine like terms: -1 + -2 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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