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Simplifying -2[(x + 2) + (x + -2)] = (x + -1) + -1(x + -3) Reorder the terms: -2[(2 + x) + (x + -2)] = (x + -1) + -1(x + -3) Remove parenthesis around (2 + x) -2[2 + x + (x + -2)] = (x + -1) + -1(x + -3) Reorder the terms: -2[2 + x + (-2 + x)] = (x + -1) + -1(x + -3) Remove parenthesis around (-2 + x) -2[2 + x + -2 + x] = (x + -1) + -1(x + -3) Reorder the terms: -2[2 + -2 + x + x] = (x + -1) + -1(x + -3) Combine like terms: 2 + -2 = 0 -2[0 + x + x] = (x + -1) + -1(x + -3) -2[x + x] = (x + -1) + -1(x + -3) Combine like terms: x + x = 2x -2[2x] = (x + -1) + -1(x + -3) Remove brackets around [2x] -2 * 2x = (x + -1) + -1(x + -3) Multiply -2 * 2 -4x = (x + -1) + -1(x + -3) Reorder the terms: -4x = (-1 + x) + -1(x + -3) Remove parenthesis around (-1 + x) -4x = -1 + x + -1(x + -3) Reorder the terms: -4x = -1 + x + -1(-3 + x) -4x = -1 + x + (-3 * -1 + x * -1) -4x = -1 + x + (3 + -1x) Reorder the terms: -4x = -1 + 3 + x + -1x Combine like terms: -1 + 3 = 2 -4x = 2 + x + -1x Combine like terms: x + -1x = 0 -4x = 2 + 0 -4x = 2 Solving -4x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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