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