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