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Simplifying 4.2x + 2.1(950 + -1x) = 2583 4.2x + (950 * 2.1 + -1x * 2.1) = 2583 4.2x + (1995 + -2.1x) = 2583 Reorder the terms: 1995 + 4.2x + -2.1x = 2583 Combine like terms: 4.2x + -2.1x = 2.1x 1995 + 2.1x = 2583 Solving 1995 + 2.1x = 2583 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1995' to each side of the equation. 1995 + -1995 + 2.1x = 2583 + -1995 Combine like terms: 1995 + -1995 = 0 0 + 2.1x = 2583 + -1995 2.1x = 2583 + -1995 Combine like terms: 2583 + -1995 = 588 2.1x = 588 Divide each side by '2.1'. x = 280 Simplifying x = 280
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