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Simplifying 2x + -12 = -1(x + 6) Reorder the terms: -12 + 2x = -1(x + 6) Reorder the terms: -12 + 2x = -1(6 + x) -12 + 2x = (6 * -1 + x * -1) -12 + 2x = (-6 + -1x) Solving -12 + 2x = -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. -12 + 2x + x = -6 + -1x + x Combine like terms: 2x + x = 3x -12 + 3x = -6 + -1x + x Combine like terms: -1x + x = 0 -12 + 3x = -6 + 0 -12 + 3x = -6 Add '12' to each side of the equation. -12 + 12 + 3x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -6 + 12 3x = -6 + 12 Combine like terms: -6 + 12 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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