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Simplifying 2x + 9 + 3x + -8 + 3x + -4 + 3x + -10 + 2x + 7 = 540 Reorder the terms: 9 + -8 + -4 + -10 + 7 + 2x + 3x + 3x + 3x + 2x = 540 Combine like terms: 9 + -8 = 1 1 + -4 + -10 + 7 + 2x + 3x + 3x + 3x + 2x = 540 Combine like terms: 1 + -4 = -3 -3 + -10 + 7 + 2x + 3x + 3x + 3x + 2x = 540 Combine like terms: -3 + -10 = -13 -13 + 7 + 2x + 3x + 3x + 3x + 2x = 540 Combine like terms: -13 + 7 = -6 -6 + 2x + 3x + 3x + 3x + 2x = 540 Combine like terms: 2x + 3x = 5x -6 + 5x + 3x + 3x + 2x = 540 Combine like terms: 5x + 3x = 8x -6 + 8x + 3x + 2x = 540 Combine like terms: 8x + 3x = 11x -6 + 11x + 2x = 540 Combine like terms: 11x + 2x = 13x -6 + 13x = 540 Solving -6 + 13x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 13x = 540 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 540 + 6 13x = 540 + 6 Combine like terms: 540 + 6 = 546 13x = 546 Divide each side by '13'. x = 42 Simplifying x = 42
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