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Simplifying 1.3x + 2.4x + (x + 18) + 2x + (x + 60) = 540 Reorder the terms: 1.3x + 2.4x + (18 + x) + 2x + (x + 60) = 540 Remove parenthesis around (18 + x) 1.3x + 2.4x + 18 + x + 2x + (x + 60) = 540 Reorder the terms: 1.3x + 2.4x + 18 + x + 2x + (60 + x) = 540 Remove parenthesis around (60 + x) 1.3x + 2.4x + 18 + x + 2x + 60 + x = 540 Reorder the terms: 18 + 60 + 1.3x + 2.4x + x + 2x + x = 540 Combine like terms: 18 + 60 = 78 78 + 1.3x + 2.4x + x + 2x + x = 540 Combine like terms: 1.3x + 2.4x = 3.7x 78 + 3.7x + x + 2x + x = 540 Combine like terms: 3.7x + x = 4.7x 78 + 4.7x + 2x + x = 540 Combine like terms: 4.7x + 2x = 6.7x 78 + 6.7x + x = 540 Combine like terms: 6.7x + x = 7.7x 78 + 7.7x = 540 Solving 78 + 7.7x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 7.7x = 540 + -78 Combine like terms: 78 + -78 = 0 0 + 7.7x = 540 + -78 7.7x = 540 + -78 Combine like terms: 540 + -78 = 462 7.7x = 462 Divide each side by '7.7'. x = 60 Simplifying x = 60
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