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Simplifying 3x + -1(x + -1[2x + -1(6x + 7)]) = 6x + -1 Reorder the terms: 3x + -1(x + -1[2x + -1(7 + 6x)]) = 6x + -1 3x + -1(x + -1[2x + (7 * -1 + 6x * -1)]) = 6x + -1 3x + -1(x + -1[2x + (-7 + -6x)]) = 6x + -1 Reorder the terms: 3x + -1(x + -1[-7 + 2x + -6x]) = 6x + -1 Combine like terms: 2x + -6x = -4x 3x + -1(x + -1[-7 + -4x]) = 6x + -1 3x + -1(x + [-7 * -1 + -4x * -1]) = 6x + -1 3x + -1(x + [7 + 4x]) = 6x + -1 Reorder the terms: 3x + -1(7 + x + 4x) = 6x + -1 Combine like terms: x + 4x = 5x 3x + -1(7 + 5x) = 6x + -1 3x + (7 * -1 + 5x * -1) = 6x + -1 3x + (-7 + -5x) = 6x + -1 Reorder the terms: -7 + 3x + -5x = 6x + -1 Combine like terms: 3x + -5x = -2x -7 + -2x = 6x + -1 Reorder the terms: -7 + -2x = -1 + 6x Solving -7 + -2x = -1 + 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. -7 + -2x + -6x = -1 + 6x + -6x Combine like terms: -2x + -6x = -8x -7 + -8x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -8x = -1 + 0 -7 + -8x = -1 Add '7' to each side of the equation. -7 + 7 + -8x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -1 + 7 -8x = -1 + 7 Combine like terms: -1 + 7 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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