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Simplifying x + 2x + 3x + (2x + 30) + (x + 20) = 540 Reorder the terms: x + 2x + 3x + (30 + 2x) + (x + 20) = 540 Remove parenthesis around (30 + 2x) x + 2x + 3x + 30 + 2x + (x + 20) = 540 Reorder the terms: x + 2x + 3x + 30 + 2x + (20 + x) = 540 Remove parenthesis around (20 + x) x + 2x + 3x + 30 + 2x + 20 + x = 540 Reorder the terms: 30 + 20 + x + 2x + 3x + 2x + x = 540 Combine like terms: 30 + 20 = 50 50 + x + 2x + 3x + 2x + x = 540 Combine like terms: x + 2x = 3x 50 + 3x + 3x + 2x + x = 540 Combine like terms: 3x + 3x = 6x 50 + 6x + 2x + x = 540 Combine like terms: 6x + 2x = 8x 50 + 8x + x = 540 Combine like terms: 8x + x = 9x 50 + 9x = 540 Solving 50 + 9x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 9x = 540 + -50 Combine like terms: 50 + -50 = 0 0 + 9x = 540 + -50 9x = 540 + -50 Combine like terms: 540 + -50 = 490 9x = 490 Divide each side by '9'. x = 54.44444444 Simplifying x = 54.44444444
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