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Simplifying -2x + 1 + 3(x + -1) = 4 + -1x + 2 Reorder the terms: -2x + 1 + 3(-1 + x) = 4 + -1x + 2 -2x + 1 + (-1 * 3 + x * 3) = 4 + -1x + 2 -2x + 1 + (-3 + 3x) = 4 + -1x + 2 Reorder the terms: 1 + -3 + -2x + 3x = 4 + -1x + 2 Combine like terms: 1 + -3 = -2 -2 + -2x + 3x = 4 + -1x + 2 Combine like terms: -2x + 3x = 1x -2 + 1x = 4 + -1x + 2 Reorder the terms: -2 + 1x = 4 + 2 + -1x Combine like terms: 4 + 2 = 6 -2 + 1x = 6 + -1x Solving -2 + 1x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 1x + x = 6 + -1x + x Combine like terms: 1x + x = 2x -2 + 2x = 6 + -1x + x Combine like terms: -1x + x = 0 -2 + 2x = 6 + 0 -2 + 2x = 6 Add '2' to each side of the equation. -2 + 2 + 2x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6 + 2 2x = 6 + 2 Combine like terms: 6 + 2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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