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Simplifying -6(1 + -5x) = 26 + -2x (1 * -6 + -5x * -6) = 26 + -2x (-6 + 30x) = 26 + -2x Solving -6 + 30x = 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. -6 + 30x + 2x = 26 + -2x + 2x Combine like terms: 30x + 2x = 32x -6 + 32x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 32x = 26 + 0 -6 + 32x = 26 Add '6' to each side of the equation. -6 + 6 + 32x = 26 + 6 Combine like terms: -6 + 6 = 0 0 + 32x = 26 + 6 32x = 26 + 6 Combine like terms: 26 + 6 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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