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Simplifying 12x + -10(x + 20) = 100 Reorder the terms: 12x + -10(20 + x) = 100 12x + (20 * -10 + x * -10) = 100 12x + (-200 + -10x) = 100 Reorder the terms: -200 + 12x + -10x = 100 Combine like terms: 12x + -10x = 2x -200 + 2x = 100 Solving -200 + 2x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + 2x = 100 + 200 Combine like terms: -200 + 200 = 0 0 + 2x = 100 + 200 2x = 100 + 200 Combine like terms: 100 + 200 = 300 2x = 300 Divide each side by '2'. x = 150 Simplifying x = 150
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