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Simplifying x + 3[x + -2] + 5[1 + -1x] = 0 Reorder the terms: x + 3[-2 + x] + 5[1 + -1x] = 0 x + [-2 * 3 + x * 3] + 5[1 + -1x] = 0 x + [-6 + 3x] + 5[1 + -1x] = 0 x + -6 + 3x + [1 * 5 + -1x * 5] = 0 x + -6 + 3x + [5 + -5x] = 0 Reorder the terms: -6 + 5 + x + 3x + -5x = 0 Combine like terms: -6 + 5 = -1 -1 + x + 3x + -5x = 0 Combine like terms: x + 3x = 4x -1 + 4x + -5x = 0 Combine like terms: 4x + -5x = -1x -1 + -1x = 0 Solving -1 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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