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