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Simplifying 6x + (500 + -1x) * 10 = 0 Reorder the terms for easier multiplication: 6x + 10(500 + -1x) = 0 6x + (500 * 10 + -1x * 10) = 0 6x + (5000 + -10x) = 0 Reorder the terms: 5000 + 6x + -10x = 0 Combine like terms: 6x + -10x = -4x 5000 + -4x = 0 Solving 5000 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5000' to each side of the equation. 5000 + -5000 + -4x = 0 + -5000 Combine like terms: 5000 + -5000 = 0 0 + -4x = 0 + -5000 -4x = 0 + -5000 Combine like terms: 0 + -5000 = -5000 -4x = -5000 Divide each side by '-4'. x = 1250 Simplifying x = 1250
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