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Simplifying 10x + 20(41 + -1x) = 580 10x + (41 * 20 + -1x * 20) = 580 10x + (820 + -20x) = 580 Reorder the terms: 820 + 10x + -20x = 580 Combine like terms: 10x + -20x = -10x 820 + -10x = 580 Solving 820 + -10x = 580 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-820' to each side of the equation. 820 + -820 + -10x = 580 + -820 Combine like terms: 820 + -820 = 0 0 + -10x = 580 + -820 -10x = 580 + -820 Combine like terms: 580 + -820 = -240 -10x = -240 Divide each side by '-10'. x = 24 Simplifying x = 24
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