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