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Simplifying 5x + -5(-2x + 1) = 5 + -2(5x + 30) Reorder the terms: 5x + -5(1 + -2x) = 5 + -2(5x + 30) 5x + (1 * -5 + -2x * -5) = 5 + -2(5x + 30) 5x + (-5 + 10x) = 5 + -2(5x + 30) Reorder the terms: -5 + 5x + 10x = 5 + -2(5x + 30) Combine like terms: 5x + 10x = 15x -5 + 15x = 5 + -2(5x + 30) Reorder the terms: -5 + 15x = 5 + -2(30 + 5x) -5 + 15x = 5 + (30 * -2 + 5x * -2) -5 + 15x = 5 + (-60 + -10x) Combine like terms: 5 + -60 = -55 -5 + 15x = -55 + -10x Solving -5 + 15x = -55 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -5 + 15x + 10x = -55 + -10x + 10x Combine like terms: 15x + 10x = 25x -5 + 25x = -55 + -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 25x = -55 + 0 -5 + 25x = -55 Add '5' to each side of the equation. -5 + 5 + 25x = -55 + 5 Combine like terms: -5 + 5 = 0 0 + 25x = -55 + 5 25x = -55 + 5 Combine like terms: -55 + 5 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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