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Simplifying 4x + -5 = 1 * 5(5x + 20) Reorder the terms: -5 + 4x = 1 * 5(5x + 20) Reorder the terms: -5 + 4x = 1 * 5(20 + 5x) Multiply 1 * 5 -5 + 4x = 5(20 + 5x) -5 + 4x = (20 * 5 + 5x * 5) -5 + 4x = (100 + 25x) Solving -5 + 4x = 100 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -5 + 4x + -25x = 100 + 25x + -25x Combine like terms: 4x + -25x = -21x -5 + -21x = 100 + 25x + -25x Combine like terms: 25x + -25x = 0 -5 + -21x = 100 + 0 -5 + -21x = 100 Add '5' to each side of the equation. -5 + 5 + -21x = 100 + 5 Combine like terms: -5 + 5 = 0 0 + -21x = 100 + 5 -21x = 100 + 5 Combine like terms: 100 + 5 = 105 -21x = 105 Divide each side by '-21'. x = -5 Simplifying x = -5
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