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Simplifying 2x + 5(x + -4) = 2(x + -5) Reorder the terms: 2x + 5(-4 + x) = 2(x + -5) 2x + (-4 * 5 + x * 5) = 2(x + -5) 2x + (-20 + 5x) = 2(x + -5) Reorder the terms: -20 + 2x + 5x = 2(x + -5) Combine like terms: 2x + 5x = 7x -20 + 7x = 2(x + -5) Reorder the terms: -20 + 7x = 2(-5 + x) -20 + 7x = (-5 * 2 + x * 2) -20 + 7x = (-10 + 2x) Solving -20 + 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. -20 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x -20 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 5x = -10 + 0 -20 + 5x = -10 Add '20' to each side of the equation. -20 + 20 + 5x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = -10 + 20 5x = -10 + 20 Combine like terms: -10 + 20 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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