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Simplifying 4x + -1(x + 1) = x + -1(x + -5) Reorder the terms: 4x + -1(1 + x) = x + -1(x + -5) 4x + (1 * -1 + x * -1) = x + -1(x + -5) 4x + (-1 + -1x) = x + -1(x + -5) Reorder the terms: -1 + 4x + -1x = x + -1(x + -5) Combine like terms: 4x + -1x = 3x -1 + 3x = x + -1(x + -5) Reorder the terms: -1 + 3x = x + -1(-5 + x) -1 + 3x = x + (-5 * -1 + x * -1) -1 + 3x = x + (5 + -1x) Reorder the terms: -1 + 3x = 5 + x + -1x Combine like terms: x + -1x = 0 -1 + 3x = 5 + 0 -1 + 3x = 5 Solving -1 + 3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 5 + 1 3x = 5 + 1 Combine like terms: 5 + 1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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