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Simplifying -4x + -1[7x + 2 + -1(3x + 1) + -3x] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 Reorder the terms: -4x + -1[7x + 2 + -1(1 + 3x) + -3x] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 -4x + -1[7x + 2 + (1 * -1 + 3x * -1) + -3x] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 -4x + -1[7x + 2 + (-1 + -3x) + -3x] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 Reorder the terms: -4x + -1[2 + -1 + 7x + -3x + -3x] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 Combine like terms: 2 + -1 = 1 -4x + -1[1 + 7x + -3x + -3x] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 Combine like terms: 7x + -3x = 4x -4x + -1[1 + 4x + -3x] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 Combine like terms: 4x + -3x = 1x -4x + -1[1 + 1x] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 -4x + [1 * -1 + 1x * -1] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 -4x + [-1 + -1x] + -1[x + -1(2x + 7 + -1) + -3(-2x)] = 0 Reorder the terms: -4x + -1 + -1x + -1[x + -1(7 + -1 + 2x) + -3(-2x)] = 0 Combine like terms: 7 + -1 = 6 -4x + -1 + -1x + -1[x + -1(6 + 2x) + -3(-2x)] = 0 -4x + -1 + -1x + -1[x + (6 * -1 + 2x * -1) + -3(-2x)] = 0 -4x + -1 + -1x + -1[x + (-6 + -2x) + -3(-2x)] = 0 Remove parenthesis around (-2x) -4x + -1 + -1x + -1[x + -6 + -2x + -3 * -2x] = 0 Multiply -3 * -2 -4x + -1 + -1x + -1[x + -6 + -2x + 6x] = 0 Reorder the terms: -4x + -1 + -1x + -1[-6 + x + -2x + 6x] = 0 Combine like terms: x + -2x = -1x -4x + -1 + -1x + -1[-6 + -1x + 6x] = 0 Combine like terms: -1x + 6x = 5x -4x + -1 + -1x + -1[-6 + 5x] = 0 -4x + -1 + -1x + [-6 * -1 + 5x * -1] = 0 -4x + -1 + -1x + [6 + -5x] = 0 Reorder the terms: -1 + 6 + -4x + -1x + -5x = 0 Combine like terms: -1 + 6 = 5 5 + -4x + -1x + -5x = 0 Combine like terms: -4x + -1x = -5x 5 + -5x + -5x = 0 Combine like terms: -5x + -5x = -10x 5 + -10x = 0 Solving 5 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -10x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 0 + -5 -10x = 0 + -5 Combine like terms: 0 + -5 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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