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Simplifying -2[(-3)(-2 + -1x) + 2(x + -3)] = -2x -2[(-2 * -3 + -1x * -3) + 2(x + -3)] = -2x -2[(6 + 3x) + 2(x + -3)] = -2x Reorder the terms: -2[6 + 3x + 2(-3 + x)] = -2x -2[6 + 3x + (-3 * 2 + x * 2)] = -2x -2[6 + 3x + (-6 + 2x)] = -2x Reorder the terms: -2[6 + -6 + 3x + 2x] = -2x Combine like terms: 6 + -6 = 0 -2[0 + 3x + 2x] = -2x -2[3x + 2x] = -2x Combine like terms: 3x + 2x = 5x -2[5x] = -2x Remove brackets around [5x] -2 * 5x = -2x Multiply -2 * 5 -10x = -2x Solving -10x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10x + 2x = -2x + 2x Combine like terms: -10x + 2x = -8x -8x = -2x + 2x Combine like terms: -2x + 2x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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