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Simplifying -1[x + -4] = 2x + 6 Reorder the terms: -1[-4 + x] = 2x + 6 [-4 * -1 + x * -1] = 2x + 6 [4 + -1x] = 2x + 6 Reorder the terms: 4 + -1x = 6 + 2x Solving 4 + -1x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x 4 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -3x = 6 + 0 4 + -3x = 6 Add '-4' to each side of the equation. 4 + -4 + -3x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 6 + -4 -3x = 6 + -4 Combine like terms: 6 + -4 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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