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Simplifying 4(2 + -1x) + 1 = 2x + 2 + -5(1 + -4x) (2 * 4 + -1x * 4) + 1 = 2x + 2 + -5(1 + -4x) (8 + -4x) + 1 = 2x + 2 + -5(1 + -4x) Reorder the terms: 8 + 1 + -4x = 2x + 2 + -5(1 + -4x) Combine like terms: 8 + 1 = 9 9 + -4x = 2x + 2 + -5(1 + -4x) 9 + -4x = 2x + 2 + (1 * -5 + -4x * -5) 9 + -4x = 2x + 2 + (-5 + 20x) Reorder the terms: 9 + -4x = 2 + -5 + 2x + 20x Combine like terms: 2 + -5 = -3 9 + -4x = -3 + 2x + 20x Combine like terms: 2x + 20x = 22x 9 + -4x = -3 + 22x Solving 9 + -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. 9 + -4x + -22x = -3 + 22x + -22x Combine like terms: -4x + -22x = -26x 9 + -26x = -3 + 22x + -22x Combine like terms: 22x + -22x = 0 9 + -26x = -3 + 0 9 + -26x = -3 Add '-9' to each side of the equation. 9 + -9 + -26x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -26x = -3 + -9 -26x = -3 + -9 Combine like terms: -3 + -9 = -12 -26x = -12 Divide each side by '-26'. x = 0.4615384615 Simplifying x = 0.4615384615
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