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Simplifying 4(-1x) + 1 = 2x + 2 + -5(1 + -4x) Remove parenthesis around (-1x) 4 * -1x + 1 = 2x + 2 + -5(1 + -4x) Multiply 4 * -1 -4x + 1 = 2x + 2 + -5(1 + -4x) Reorder the terms: 1 + -4x = 2x + 2 + -5(1 + -4x) 1 + -4x = 2x + 2 + (1 * -5 + -4x * -5) 1 + -4x = 2x + 2 + (-5 + 20x) Reorder the terms: 1 + -4x = 2 + -5 + 2x + 20x Combine like terms: 2 + -5 = -3 1 + -4x = -3 + 2x + 20x Combine like terms: 2x + 20x = 22x 1 + -4x = -3 + 22x Solving 1 + -4x = -3 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 1 + -4x + -22x = -3 + 22x + -22x Combine like terms: -4x + -22x = -26x 1 + -26x = -3 + 22x + -22x Combine like terms: 22x + -22x = 0 1 + -26x = -3 + 0 1 + -26x = -3 Add '-1' to each side of the equation. 1 + -1 + -26x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -26x = -3 + -1 -26x = -3 + -1 Combine like terms: -3 + -1 = -4 -26x = -4 Divide each side by '-26'. x = 0.1538461538 Simplifying x = 0.1538461538
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