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Simplifying 5(4x + 5) + -5 = 4x + -12 Reorder the terms: 5(5 + 4x) + -5 = 4x + -12 (5 * 5 + 4x * 5) + -5 = 4x + -12 (25 + 20x) + -5 = 4x + -12 Reorder the terms: 25 + -5 + 20x = 4x + -12 Combine like terms: 25 + -5 = 20 20 + 20x = 4x + -12 Reorder the terms: 20 + 20x = -12 + 4x Solving 20 + 20x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 20x + -4x = -12 + 4x + -4x Combine like terms: 20x + -4x = 16x 20 + 16x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 16x = -12 + 0 20 + 16x = -12 Add '-20' to each side of the equation. 20 + -20 + 16x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 16x = -12 + -20 16x = -12 + -20 Combine like terms: -12 + -20 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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