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Simplifying 2 + -1(6 + x) = 3(x + 4) 2 + (6 * -1 + x * -1) = 3(x + 4) 2 + (-6 + -1x) = 3(x + 4) Combine like terms: 2 + -6 = -4 -4 + -1x = 3(x + 4) Reorder the terms: -4 + -1x = 3(4 + x) -4 + -1x = (4 * 3 + x * 3) -4 + -1x = (12 + 3x) Solving -4 + -1x = 12 + 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. -4 + -1x + -3x = 12 + 3x + -3x Combine like terms: -1x + -3x = -4x -4 + -4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -4x = 12 + 0 -4 + -4x = 12 Add '4' to each side of the equation. -4 + 4 + -4x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 12 + 4 -4x = 12 + 4 Combine like terms: 12 + 4 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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