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