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Simplifying 6x + 8 + 6x + -6 + 7x + 5x + 9x + 10 = 540 Reorder the terms: 8 + -6 + 10 + 6x + 6x + 7x + 5x + 9x = 540 Combine like terms: 8 + -6 = 2 2 + 10 + 6x + 6x + 7x + 5x + 9x = 540 Combine like terms: 2 + 10 = 12 12 + 6x + 6x + 7x + 5x + 9x = 540 Combine like terms: 6x + 6x = 12x 12 + 12x + 7x + 5x + 9x = 540 Combine like terms: 12x + 7x = 19x 12 + 19x + 5x + 9x = 540 Combine like terms: 19x + 5x = 24x 12 + 24x + 9x = 540 Combine like terms: 24x + 9x = 33x 12 + 33x = 540 Solving 12 + 33x = 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 + 33x = 540 + -12 Combine like terms: 12 + -12 = 0 0 + 33x = 540 + -12 33x = 540 + -12 Combine like terms: 540 + -12 = 528 33x = 528 Divide each side by '33'. x = 16 Simplifying x = 16
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