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Simplifying -2[2 + 5(X + 1) + (x + -1)] = 6 Reorder the terms: -2[2 + 5(1 + X) + (x + -1)] = 6 -2[2 + (1 * 5 + X * 5) + (x + -1)] = 6 -2[2 + (5 + 5X) + (x + -1)] = 6 Reorder the terms: -2[2 + 5 + 5X + (-1 + x)] = 6 Remove parenthesis around (-1 + x) -2[2 + 5 + 5X + -1 + x] = 6 Reorder the terms: -2[2 + 5 + -1 + 5X + x] = 6 Combine like terms: 2 + 5 = 7 -2[7 + -1 + 5X + x] = 6 Combine like terms: 7 + -1 = 6 -2[6 + 5X + x] = 6 [6 * -2 + 5X * -2 + x * -2] = 6 [-12 + -10X + -2x] = 6 Solving -12 + -10X + -2x = 6 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -10X + 12 + -2x = 6 + 12 Reorder the terms: -12 + 12 + -10X + -2x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -10X + -2x = 6 + 12 -10X + -2x = 6 + 12 Combine like terms: 6 + 12 = 18 -10X + -2x = 18 Add '2x' to each side of the equation. -10X + -2x + 2x = 18 + 2x Combine like terms: -2x + 2x = 0 -10X + 0 = 18 + 2x -10X = 18 + 2x Divide each side by '-10'. X = -1.8 + -0.2x Simplifying X = -1.8 + -0.2x
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