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