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Simplifying 30x + 10(100 + -1x) = 180 30x + (100 * 10 + -1x * 10) = 180 30x + (1000 + -10x) = 180 Reorder the terms: 1000 + 30x + -10x = 180 Combine like terms: 30x + -10x = 20x 1000 + 20x = 180 Solving 1000 + 20x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + 20x = 180 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 20x = 180 + -1000 20x = 180 + -1000 Combine like terms: 180 + -1000 = -820 20x = -820 Divide each side by '20'. x = -41 Simplifying x = -41
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