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Simplifying -5(4x + -5) = 12x + 5 Reorder the terms: -5(-5 + 4x) = 12x + 5 (-5 * -5 + 4x * -5) = 12x + 5 (25 + -20x) = 12x + 5 Reorder the terms: 25 + -20x = 5 + 12x Solving 25 + -20x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 25 + -20x + -12x = 5 + 12x + -12x Combine like terms: -20x + -12x = -32x 25 + -32x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 25 + -32x = 5 + 0 25 + -32x = 5 Add '-25' to each side of the equation. 25 + -25 + -32x = 5 + -25 Combine like terms: 25 + -25 = 0 0 + -32x = 5 + -25 -32x = 5 + -25 Combine like terms: 5 + -25 = -20 -32x = -20 Divide each side by '-32'. x = 0.625 Simplifying x = 0.625
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