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Simplifying 6(1 + -4x) + -3x = -26 + 5x (1 * 6 + -4x * 6) + -3x = -26 + 5x (6 + -24x) + -3x = -26 + 5x Combine like terms: -24x + -3x = -27x 6 + -27x = -26 + 5x Solving 6 + -27x = -26 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -27x + -5x = -26 + 5x + -5x Combine like terms: -27x + -5x = -32x 6 + -32x = -26 + 5x + -5x Combine like terms: 5x + -5x = 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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