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Simplifying 3(x + -1) + 2 = -4x + 1 Reorder the terms: 3(-1 + x) + 2 = -4x + 1 (-1 * 3 + x * 3) + 2 = -4x + 1 (-3 + 3x) + 2 = -4x + 1 Reorder the terms: -3 + 2 + 3x = -4x + 1 Combine like terms: -3 + 2 = -1 -1 + 3x = -4x + 1 Reorder the terms: -1 + 3x = 1 + -4x Solving -1 + 3x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 3x + 4x = 1 + -4x + 4x Combine like terms: 3x + 4x = 7x -1 + 7x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 7x = 1 + 0 -1 + 7x = 1 Add '1' to each side of the equation. -1 + 1 + 7x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 1 + 1 7x = 1 + 1 Combine like terms: 1 + 1 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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