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Simplifying 2(x + 5) + 3(x + -10) = 100 Reorder the terms: 2(5 + x) + 3(x + -10) = 100 (5 * 2 + x * 2) + 3(x + -10) = 100 (10 + 2x) + 3(x + -10) = 100 Reorder the terms: 10 + 2x + 3(-10 + x) = 100 10 + 2x + (-10 * 3 + x * 3) = 100 10 + 2x + (-30 + 3x) = 100 Reorder the terms: 10 + -30 + 2x + 3x = 100 Combine like terms: 10 + -30 = -20 -20 + 2x + 3x = 100 Combine like terms: 2x + 3x = 5x -20 + 5x = 100 Solving -20 + 5x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 5x = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 100 + 20 5x = 100 + 20 Combine like terms: 100 + 20 = 120 5x = 120 Divide each side by '5'. x = 24 Simplifying x = 24
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