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Simplifying 3x + -1(x + 1) + -1 = -1x + 4(2 + -1x) Reorder the terms: 3x + -1(1 + x) + -1 = -1x + 4(2 + -1x) 3x + (1 * -1 + x * -1) + -1 = -1x + 4(2 + -1x) 3x + (-1 + -1x) + -1 = -1x + 4(2 + -1x) Reorder the terms: -1 + -1 + 3x + -1x = -1x + 4(2 + -1x) Combine like terms: -1 + -1 = -2 -2 + 3x + -1x = -1x + 4(2 + -1x) Combine like terms: 3x + -1x = 2x -2 + 2x = -1x + 4(2 + -1x) -2 + 2x = -1x + (2 * 4 + -1x * 4) -2 + 2x = -1x + (8 + -4x) Reorder the terms: -2 + 2x = 8 + -1x + -4x Combine like terms: -1x + -4x = -5x -2 + 2x = 8 + -5x Solving -2 + 2x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + 2x + 5x = 8 + -5x + 5x Combine like terms: 2x + 5x = 7x -2 + 7x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 7x = 8 + 0 -2 + 7x = 8 Add '2' to each side of the equation. -2 + 2 + 7x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 8 + 2 7x = 8 + 2 Combine like terms: 8 + 2 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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