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Simplifying 2x + -1(5x + 1) = 3x + 1 Reorder the terms: 2x + -1(1 + 5x) = 3x + 1 2x + (1 * -1 + 5x * -1) = 3x + 1 2x + (-1 + -5x) = 3x + 1 Reorder the terms: -1 + 2x + -5x = 3x + 1 Combine like terms: 2x + -5x = -3x -1 + -3x = 3x + 1 Reorder the terms: -1 + -3x = 1 + 3x Solving -1 + -3x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -3x + -3x = 1 + 3x + -3x Combine like terms: -3x + -3x = -6x -1 + -6x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -6x = 1 + 0 -1 + -6x = 1 Add '1' to each side of the equation. -1 + 1 + -6x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 1 + 1 -6x = 1 + 1 Combine like terms: 1 + 1 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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