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Simplifying 3x + -1(4x + -1(5x + -1(6x + -7))) = 11 Reorder the terms: 3x + -1(4x + -1(5x + -1(-7 + 6x))) = 11 3x + -1(4x + -1(5x + (-7 * -1 + 6x * -1))) = 11 3x + -1(4x + -1(5x + (7 + -6x))) = 11 Reorder the terms: 3x + -1(4x + -1(7 + 5x + -6x)) = 11 Combine like terms: 5x + -6x = -1x 3x + -1(4x + -1(7 + -1x)) = 11 3x + -1(4x + (7 * -1 + -1x * -1)) = 11 3x + -1(4x + (-7 + 1x)) = 11 Reorder the terms: 3x + -1(-7 + 4x + 1x) = 11 Combine like terms: 4x + 1x = 5x 3x + -1(-7 + 5x) = 11 3x + (-7 * -1 + 5x * -1) = 11 3x + (7 + -5x) = 11 Reorder the terms: 7 + 3x + -5x = 11 Combine like terms: 3x + -5x = -2x 7 + -2x = 11 Solving 7 + -2x = 11 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 + -2x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 11 + -7 -2x = 11 + -7 Combine like terms: 11 + -7 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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