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Simplifying 3x + 2x + 4 + 100 + 100 + 3x = 540 Reorder the terms: 4 + 100 + 100 + 3x + 2x + 3x = 540 Combine like terms: 4 + 100 = 104 104 + 100 + 3x + 2x + 3x = 540 Combine like terms: 104 + 100 = 204 204 + 3x + 2x + 3x = 540 Combine like terms: 3x + 2x = 5x 204 + 5x + 3x = 540 Combine like terms: 5x + 3x = 8x 204 + 8x = 540 Solving 204 + 8x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-204' to each side of the equation. 204 + -204 + 8x = 540 + -204 Combine like terms: 204 + -204 = 0 0 + 8x = 540 + -204 8x = 540 + -204 Combine like terms: 540 + -204 = 336 8x = 336 Divide each side by '8'. x = 42 Simplifying x = 42
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