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Simplifying 2x + -1(3x + 1) + -1[7 + -1(6x + 1)] + 4x = 0 Reorder the terms: 2x + -1(1 + 3x) + -1[7 + -1(6x + 1)] + 4x = 0 2x + (1 * -1 + 3x * -1) + -1[7 + -1(6x + 1)] + 4x = 0 2x + (-1 + -3x) + -1[7 + -1(6x + 1)] + 4x = 0 Reorder the terms: 2x + -1 + -3x + -1[7 + -1(1 + 6x)] + 4x = 0 2x + -1 + -3x + -1[7 + (1 * -1 + 6x * -1)] + 4x = 0 2x + -1 + -3x + -1[7 + (-1 + -6x)] + 4x = 0 Combine like terms: 7 + -1 = 6 2x + -1 + -3x + -1[6 + -6x] + 4x = 0 2x + -1 + -3x + [6 * -1 + -6x * -1] + 4x = 0 2x + -1 + -3x + [-6 + 6x] + 4x = 0 Reorder the terms: -1 + -6 + 2x + -3x + 6x + 4x = 0 Combine like terms: -1 + -6 = -7 -7 + 2x + -3x + 6x + 4x = 0 Combine like terms: 2x + -3x = -1x -7 + -1x + 6x + 4x = 0 Combine like terms: -1x + 6x = 5x -7 + 5x + 4x = 0 Combine like terms: 5x + 4x = 9x -7 + 9x = 0 Solving -7 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 0 + 7 9x = 0 + 7 Combine like terms: 0 + 7 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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