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Simplifying 10x + 3 + 9x + -3 + 4x + 2 + 12x + -9 + 8x + -12 = 540 Reorder the terms: 3 + -3 + 2 + -9 + -12 + 10x + 9x + 4x + 12x + 8x = 540 Combine like terms: 3 + -3 = 0 0 + 2 + -9 + -12 + 10x + 9x + 4x + 12x + 8x = 540 2 + -9 + -12 + 10x + 9x + 4x + 12x + 8x = 540 Combine like terms: 2 + -9 = -7 -7 + -12 + 10x + 9x + 4x + 12x + 8x = 540 Combine like terms: -7 + -12 = -19 -19 + 10x + 9x + 4x + 12x + 8x = 540 Combine like terms: 10x + 9x = 19x -19 + 19x + 4x + 12x + 8x = 540 Combine like terms: 19x + 4x = 23x -19 + 23x + 12x + 8x = 540 Combine like terms: 23x + 12x = 35x -19 + 35x + 8x = 540 Combine like terms: 35x + 8x = 43x -19 + 43x = 540 Solving -19 + 43x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 43x = 540 + 19 Combine like terms: -19 + 19 = 0 0 + 43x = 540 + 19 43x = 540 + 19 Combine like terms: 540 + 19 = 559 43x = 559 Divide each side by '43'. x = 13 Simplifying x = 13
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