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Simplifying 5(x + -10) = 2(x + 5) Reorder the terms: 5(-10 + x) = 2(x + 5) (-10 * 5 + x * 5) = 2(x + 5) (-50 + 5x) = 2(x + 5) Reorder the terms: -50 + 5x = 2(5 + x) -50 + 5x = (5 * 2 + x * 2) -50 + 5x = (10 + 2x) Solving -50 + 5x = 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. -50 + 5x + -2x = 10 + 2x + -2x Combine like terms: 5x + -2x = 3x -50 + 3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -50 + 3x = 10 + 0 -50 + 3x = 10 Add '50' to each side of the equation. -50 + 50 + 3x = 10 + 50 Combine like terms: -50 + 50 = 0 0 + 3x = 10 + 50 3x = 10 + 50 Combine like terms: 10 + 50 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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