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