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Simplifying -5x + 45 = 5(4x + -1) Reorder the terms: 45 + -5x = 5(4x + -1) Reorder the terms: 45 + -5x = 5(-1 + 4x) 45 + -5x = (-1 * 5 + 4x * 5) 45 + -5x = (-5 + 20x) Solving 45 + -5x = -5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 45 + -5x + -20x = -5 + 20x + -20x Combine like terms: -5x + -20x = -25x 45 + -25x = -5 + 20x + -20x Combine like terms: 20x + -20x = 0 45 + -25x = -5 + 0 45 + -25x = -5 Add '-45' to each side of the equation. 45 + -45 + -25x = -5 + -45 Combine like terms: 45 + -45 = 0 0 + -25x = -5 + -45 -25x = -5 + -45 Combine like terms: -5 + -45 = -50 -25x = -50 Divide each side by '-25'. x = 2 Simplifying x = 2
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