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