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Simplifying -2(x + -1) + -6 = 6(x + 4) Reorder the terms: -2(-1 + x) + -6 = 6(x + 4) (-1 * -2 + x * -2) + -6 = 6(x + 4) (2 + -2x) + -6 = 6(x + 4) Reorder the terms: 2 + -6 + -2x = 6(x + 4) Combine like terms: 2 + -6 = -4 -4 + -2x = 6(x + 4) Reorder the terms: -4 + -2x = 6(4 + x) -4 + -2x = (4 * 6 + x * 6) -4 + -2x = (24 + 6x) Solving -4 + -2x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + -2x + -6x = 24 + 6x + -6x Combine like terms: -2x + -6x = -8x -4 + -8x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -8x = 24 + 0 -4 + -8x = 24 Add '4' to each side of the equation. -4 + 4 + -8x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 24 + 4 -8x = 24 + 4 Combine like terms: 24 + 4 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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