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