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Simplifying -8(1 + -2x) + -1x = 26 + -2x (1 * -8 + -2x * -8) + -1x = 26 + -2x (-8 + 16x) + -1x = 26 + -2x Combine like terms: 16x + -1x = 15x -8 + 15x = 26 + -2x Solving -8 + 15x = 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. -8 + 15x + 2x = 26 + -2x + 2x Combine like terms: 15x + 2x = 17x -8 + 17x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 17x = 26 + 0 -8 + 17x = 26 Add '8' to each side of the equation. -8 + 8 + 17x = 26 + 8 Combine like terms: -8 + 8 = 0 0 + 17x = 26 + 8 17x = 26 + 8 Combine like terms: 26 + 8 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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