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Simplifying -1(-1(4)(1 + -1x) + -1) = -1((1 + x) + -3x) Multiply -1 * 4 -1(-4(1 + -1x) + -1) = -1((1 + x) + -3x) -1((1 * -4 + -1x * -4) + -1) = -1((1 + x) + -3x) -1((-4 + 4x) + -1) = -1((1 + x) + -3x) Reorder the terms: -1(-4 + -1 + 4x) = -1((1 + x) + -3x) Combine like terms: -4 + -1 = -5 -1(-5 + 4x) = -1((1 + x) + -3x) (-5 * -1 + 4x * -1) = -1((1 + x) + -3x) (5 + -4x) = -1((1 + x) + -3x) Remove parenthesis around (1 + x) 5 + -4x = -1(1 + x + -3x) Combine like terms: x + -3x = -2x 5 + -4x = -1(1 + -2x) 5 + -4x = (1 * -1 + -2x * -1) 5 + -4x = (-1 + 2x) Solving 5 + -4x = -1 + 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. 5 + -4x + -2x = -1 + 2x + -2x Combine like terms: -4x + -2x = -6x 5 + -6x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -6x = -1 + 0 5 + -6x = -1 Add '-5' to each side of the equation. 5 + -5 + -6x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -1 + -5 -6x = -1 + -5 Combine like terms: -1 + -5 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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