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Simplifying -2(11 + -7x) + -2(x + -1) = 8x (11 * -2 + -7x * -2) + -2(x + -1) = 8x (-22 + 14x) + -2(x + -1) = 8x Reorder the terms: -22 + 14x + -2(-1 + x) = 8x -22 + 14x + (-1 * -2 + x * -2) = 8x -22 + 14x + (2 + -2x) = 8x Reorder the terms: -22 + 2 + 14x + -2x = 8x Combine like terms: -22 + 2 = -20 -20 + 14x + -2x = 8x Combine like terms: 14x + -2x = 12x -20 + 12x = 8x Solving -20 + 12x = 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. -20 + 12x + -8x = 8x + -8x Combine like terms: 12x + -8x = 4x -20 + 4x = 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 4x = 0 Add '20' to each side of the equation. -20 + 20 + 4x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 0 + 20 4x = 0 + 20 Combine like terms: 0 + 20 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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