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Simplifying 3x + -11 + x + x + 2x + 7 + x + -8 = 540 Reorder the terms: -11 + 7 + -8 + 3x + x + x + 2x + x = 540 Combine like terms: -11 + 7 = -4 -4 + -8 + 3x + x + x + 2x + x = 540 Combine like terms: -4 + -8 = -12 -12 + 3x + x + x + 2x + x = 540 Combine like terms: 3x + x = 4x -12 + 4x + x + 2x + x = 540 Combine like terms: 4x + x = 5x -12 + 5x + 2x + x = 540 Combine like terms: 5x + 2x = 7x -12 + 7x + x = 540 Combine like terms: 7x + x = 8x -12 + 8x = 540 Solving -12 + 8x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8x = 540 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 540 + 12 8x = 540 + 12 Combine like terms: 540 + 12 = 552 8x = 552 Divide each side by '8'. x = 69 Simplifying x = 69
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