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Simplifying 3x + -1(x + 1) = 16 + -1(5 + -4x) Reorder the terms: 3x + -1(1 + x) = 16 + -1(5 + -4x) 3x + (1 * -1 + x * -1) = 16 + -1(5 + -4x) 3x + (-1 + -1x) = 16 + -1(5 + -4x) Reorder the terms: -1 + 3x + -1x = 16 + -1(5 + -4x) Combine like terms: 3x + -1x = 2x -1 + 2x = 16 + -1(5 + -4x) -1 + 2x = 16 + (5 * -1 + -4x * -1) -1 + 2x = 16 + (-5 + 4x) Combine like terms: 16 + -5 = 11 -1 + 2x = 11 + 4x Solving -1 + 2x = 11 + 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 + 2x + -4x = 11 + 4x + -4x Combine like terms: 2x + -4x = -2x -1 + -2x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -2x = 11 + 0 -1 + -2x = 11 Add '1' to each side of the equation. -1 + 1 + -2x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 11 + 1 -2x = 11 + 1 Combine like terms: 11 + 1 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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