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Simplifying 2 + -1[10x + 7 + -1(1 + -4x)] = 8x + -1[6x + -3 + -1(4x + -3)] 2 + -1[10x + 7 + (1 * -1 + -4x * -1)] = 8x + -1[6x + -3 + -1(4x + -3)] 2 + -1[10x + 7 + (-1 + 4x)] = 8x + -1[6x + -3 + -1(4x + -3)] Reorder the terms: 2 + -1[7 + -1 + 10x + 4x] = 8x + -1[6x + -3 + -1(4x + -3)] Combine like terms: 7 + -1 = 6 2 + -1[6 + 10x + 4x] = 8x + -1[6x + -3 + -1(4x + -3)] Combine like terms: 10x + 4x = 14x 2 + -1[6 + 14x] = 8x + -1[6x + -3 + -1(4x + -3)] 2 + [6 * -1 + 14x * -1] = 8x + -1[6x + -3 + -1(4x + -3)] 2 + [-6 + -14x] = 8x + -1[6x + -3 + -1(4x + -3)] Combine like terms: 2 + -6 = -4 -4 + -14x = 8x + -1[6x + -3 + -1(4x + -3)] Reorder the terms: -4 + -14x = 8x + -1[6x + -3 + -1(-3 + 4x)] -4 + -14x = 8x + -1[6x + -3 + (-3 * -1 + 4x * -1)] -4 + -14x = 8x + -1[6x + -3 + (3 + -4x)] Reorder the terms: -4 + -14x = 8x + -1[-3 + 3 + 6x + -4x] Combine like terms: -3 + 3 = 0 -4 + -14x = 8x + -1[0 + 6x + -4x] -4 + -14x = 8x + -1[6x + -4x] Combine like terms: 6x + -4x = 2x -4 + -14x = 8x + -1[2x] Remove brackets around [2x] -4 + -14x = 8x + -1 * 2x Multiply -1 * 2 -4 + -14x = 8x + -2x Combine like terms: 8x + -2x = 6x -4 + -14x = 6x Solving -4 + -14x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + -14x + -6x = 6x + -6x Combine like terms: -14x + -6x = -20x -4 + -20x = 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -20x = 0 Add '4' to each side of the equation. -4 + 4 + -20x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -20x = 0 + 4 -20x = 0 + 4 Combine like terms: 0 + 4 = 4 -20x = 4 Divide each side by '-20'. x = -0.2 Simplifying x = -0.2
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