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Simplifying 2.5x + 4.5(462 + -1x) = 1441 2.5x + (462 * 4.5 + -1x * 4.5) = 1441 2.5x + (2079 + -4.5x) = 1441 Reorder the terms: 2079 + 2.5x + -4.5x = 1441 Combine like terms: 2.5x + -4.5x = -2x 2079 + -2x = 1441 Solving 2079 + -2x = 1441 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2079' to each side of the equation. 2079 + -2079 + -2x = 1441 + -2079 Combine like terms: 2079 + -2079 = 0 0 + -2x = 1441 + -2079 -2x = 1441 + -2079 Combine like terms: 1441 + -2079 = -638 -2x = -638 Divide each side by '-2'. x = 319 Simplifying x = 319
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