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Simplifying 4x + 5(500 + -1x) = 2150 4x + (500 * 5 + -1x * 5) = 2150 4x + (2500 + -5x) = 2150 Reorder the terms: 2500 + 4x + -5x = 2150 Combine like terms: 4x + -5x = -1x 2500 + -1x = 2150 Solving 2500 + -1x = 2150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2500' to each side of the equation. 2500 + -2500 + -1x = 2150 + -2500 Combine like terms: 2500 + -2500 = 0 0 + -1x = 2150 + -2500 -1x = 2150 + -2500 Combine like terms: 2150 + -2500 = -350 -1x = -350 Divide each side by '-1'. x = 350 Simplifying x = 350
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