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Simplifying 2x + 5(x + -5) = 2(x + -5) Reorder the terms: 2x + 5(-5 + x) = 2(x + -5) 2x + (-5 * 5 + x * 5) = 2(x + -5) 2x + (-25 + 5x) = 2(x + -5) Reorder the terms: -25 + 2x + 5x = 2(x + -5) Combine like terms: 2x + 5x = 7x -25 + 7x = 2(x + -5) Reorder the terms: -25 + 7x = 2(-5 + x) -25 + 7x = (-5 * 2 + x * 2) -25 + 7x = (-10 + 2x) Solving -25 + 7x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -25 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x -25 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + 5x = -10 + 0 -25 + 5x = -10 Add '25' to each side of the equation. -25 + 25 + 5x = -10 + 25 Combine like terms: -25 + 25 = 0 0 + 5x = -10 + 25 5x = -10 + 25 Combine like terms: -10 + 25 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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