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Simplifying -5(4x + 5) + -5 = 3x + -5(2 + 5x) Reorder the terms: -5(5 + 4x) + -5 = 3x + -5(2 + 5x) (5 * -5 + 4x * -5) + -5 = 3x + -5(2 + 5x) (-25 + -20x) + -5 = 3x + -5(2 + 5x) Reorder the terms: -25 + -5 + -20x = 3x + -5(2 + 5x) Combine like terms: -25 + -5 = -30 -30 + -20x = 3x + -5(2 + 5x) -30 + -20x = 3x + (2 * -5 + 5x * -5) -30 + -20x = 3x + (-10 + -25x) Reorder the terms: -30 + -20x = -10 + 3x + -25x Combine like terms: 3x + -25x = -22x -30 + -20x = -10 + -22x Solving -30 + -20x = -10 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -30 + -20x + 22x = -10 + -22x + 22x Combine like terms: -20x + 22x = 2x -30 + 2x = -10 + -22x + 22x Combine like terms: -22x + 22x = 0 -30 + 2x = -10 + 0 -30 + 2x = -10 Add '30' to each side of the equation. -30 + 30 + 2x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -10 + 30 2x = -10 + 30 Combine like terms: -10 + 30 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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