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Simplifying 2 + -1(x + 2) = -6x + 2(x + 6) Reorder the terms: 2 + -1(2 + x) = -6x + 2(x + 6) 2 + (2 * -1 + x * -1) = -6x + 2(x + 6) 2 + (-2 + -1x) = -6x + 2(x + 6) Combine like terms: 2 + -2 = 0 0 + -1x = -6x + 2(x + 6) -1x = -6x + 2(x + 6) Reorder the terms: -1x = -6x + 2(6 + x) -1x = -6x + (6 * 2 + x * 2) -1x = -6x + (12 + 2x) Reorder the terms: -1x = 12 + -6x + 2x Combine like terms: -6x + 2x = -4x -1x = 12 + -4x Solving -1x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1x + 4x = 12 + -4x + 4x Combine like terms: -1x + 4x = 3x 3x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 3x = 12 + 0 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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