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Simplifying -8(2 + -5x) = 26 + -2x (2 * -8 + -5x * -8) = 26 + -2x (-16 + 40x) = 26 + -2x Solving -16 + 40x = 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. -16 + 40x + 2x = 26 + -2x + 2x Combine like terms: 40x + 2x = 42x -16 + 42x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 42x = 26 + 0 -16 + 42x = 26 Add '16' to each side of the equation. -16 + 16 + 42x = 26 + 16 Combine like terms: -16 + 16 = 0 0 + 42x = 26 + 16 42x = 26 + 16 Combine like terms: 26 + 16 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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