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Simplifying -2x + -1 = 5(4x + 5) + -4 Reorder the terms: -1 + -2x = 5(4x + 5) + -4 Reorder the terms: -1 + -2x = 5(5 + 4x) + -4 -1 + -2x = (5 * 5 + 4x * 5) + -4 -1 + -2x = (25 + 20x) + -4 Reorder the terms: -1 + -2x = 25 + -4 + 20x Combine like terms: 25 + -4 = 21 -1 + -2x = 21 + 20x Solving -1 + -2x = 21 + 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. -1 + -2x + -20x = 21 + 20x + -20x Combine like terms: -2x + -20x = -22x -1 + -22x = 21 + 20x + -20x Combine like terms: 20x + -20x = 0 -1 + -22x = 21 + 0 -1 + -22x = 21 Add '1' to each side of the equation. -1 + 1 + -22x = 21 + 1 Combine like terms: -1 + 1 = 0 0 + -22x = 21 + 1 -22x = 21 + 1 Combine like terms: 21 + 1 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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