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Simplifying 10x + 20(38 + -1x) = 580 10x + (38 * 20 + -1x * 20) = 580 10x + (760 + -20x) = 580 Reorder the terms: 760 + 10x + -20x = 580 Combine like terms: 10x + -20x = -10x 760 + -10x = 580 Solving 760 + -10x = 580 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-760' to each side of the equation. 760 + -760 + -10x = 580 + -760 Combine like terms: 760 + -760 = 0 0 + -10x = 580 + -760 -10x = 580 + -760 Combine like terms: 580 + -760 = -180 -10x = -180 Divide each side by '-10'. x = 18 Simplifying x = 18
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