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Simplifying 8x + -1(4x + 2) = 2x + -26 Reorder the terms: 8x + -1(2 + 4x) = 2x + -26 8x + (2 * -1 + 4x * -1) = 2x + -26 8x + (-2 + -4x) = 2x + -26 Reorder the terms: -2 + 8x + -4x = 2x + -26 Combine like terms: 8x + -4x = 4x -2 + 4x = 2x + -26 Reorder the terms: -2 + 4x = -26 + 2x Solving -2 + 4x = -26 + 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. -2 + 4x + -2x = -26 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = -26 + 0 -2 + 2x = -26 Add '2' to each side of the equation. -2 + 2 + 2x = -26 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -26 + 2 2x = -26 + 2 Combine like terms: -26 + 2 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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