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Simplifying 6 + 7(-1 + -1x) = -2(4x + -2) 6 + (-1 * 7 + -1x * 7) = -2(4x + -2) 6 + (-7 + -7x) = -2(4x + -2) Combine like terms: 6 + -7 = -1 -1 + -7x = -2(4x + -2) Reorder the terms: -1 + -7x = -2(-2 + 4x) -1 + -7x = (-2 * -2 + 4x * -2) -1 + -7x = (4 + -8x) Solving -1 + -7x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -1 + -7x + 8x = 4 + -8x + 8x Combine like terms: -7x + 8x = 1x -1 + 1x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 1x = 4 + 0 -1 + 1x = 4 Add '1' to each side of the equation. -1 + 1 + 1x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 4 + 1 1x = 4 + 1 Combine like terms: 4 + 1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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