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Simplifying 5x + -6(-4x + -5) = 1 Reorder the terms: 5x + -6(-5 + -4x) = 1 5x + (-5 * -6 + -4x * -6) = 1 5x + (30 + 24x) = 1 Reorder the terms: 30 + 5x + 24x = 1 Combine like terms: 5x + 24x = 29x 30 + 29x = 1 Solving 30 + 29x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 29x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 29x = 1 + -30 29x = 1 + -30 Combine like terms: 1 + -30 = -29 29x = -29 Divide each side by '29'. x = -1 Simplifying x = -1
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