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Simplifying -6 + -2(x + 1) = x + -1(2 + 4x) Reorder the terms: -6 + -2(1 + x) = x + -1(2 + 4x) -6 + (1 * -2 + x * -2) = x + -1(2 + 4x) -6 + (-2 + -2x) = x + -1(2 + 4x) Combine like terms: -6 + -2 = -8 -8 + -2x = x + -1(2 + 4x) -8 + -2x = x + (2 * -1 + 4x * -1) -8 + -2x = x + (-2 + -4x) Reorder the terms: -8 + -2x = -2 + x + -4x Combine like terms: x + -4x = -3x -8 + -2x = -2 + -3x Solving -8 + -2x = -2 + -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. -8 + -2x + 3x = -2 + -3x + 3x Combine like terms: -2x + 3x = 1x -8 + 1x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 1x = -2 + 0 -8 + 1x = -2 Add '8' to each side of the equation. -8 + 8 + 1x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -2 + 8 1x = -2 + 8 Combine like terms: -2 + 8 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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